Analysis of PDEs

Authors and titles for math.AP in Dec 2020

[1]  arXiv:2012.00142 [pdf, ps, other]

Title: Large-amplitude solitary waves in two-layer density stratified water

Authors: Daniel Sinambela

Comments: 57 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[2]  arXiv:2012.00149 [pdf, ps, other]

Title: Unique recovery of electrical conductivity and magnetic permeability from Magneto-Telluric data

Authors: Yernat M. Assylbekov, Maarten V. de Hoop

Comments: 26 pages

Subjects: Analysis of PDEs (math.AP)

[3]  arXiv:2012.00273 [pdf, ps, other]

Title: Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations

Authors: Sangdon Jin, Jinmyoung Seok

Subjects: Analysis of PDEs (math.AP)

[4]  arXiv:2012.00275 [pdf, other]

Title: Multi-bump standing waves for nonlinear Schrodinger equations with a general nonlinearity: the topological effect of potential wells

Authors: Sangdon Jin

Subjects: Analysis of PDEs (math.AP)

[5]  arXiv:2012.00309 [pdf, other]

Title: Weak and strong interaction of excitation kinks in scalar parabolic equations

Authors: Antoine Pauthier, Jens D.M. Rademacher, Dennis Ulbrich

Comments: 40 pages, 9 figures

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[6]  arXiv:2012.00324 [pdf, ps, other]

Title: Pointwise Regularity for Fully Nonlinear Elliptic Equations in General Forms

Authors: Yuanyuan Lian, Lihe Wang, Kai Zhang

Subjects: Analysis of PDEs (math.AP)

[7]  arXiv:2012.00389 [pdf, ps, other]

Title: Nonlocal characterizations of variable exponent Sobolev spaces

Authors: Gianluca Ferrari, Marco Squassina

Comments: 18 pages

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[8]  arXiv:2012.00422 [pdf, ps, other]

Title: Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces

Authors: Young-Pil Choi, Oliver Tse

Subjects: Analysis of PDEs (math.AP)

[9]  arXiv:2012.00621 [pdf, ps, other]

Title: Asymptotic analysis of a problem for dynamic thermoelastic shells

Authors: M.T. Cao-Rial, G. Castiñeira, Á. Rodríguez-Arós, S. Roscani

Comments: 36 pages, no figures

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[10]  arXiv:2012.00712 [pdf, ps, other]

Title: Complex powers of the wave operator and the spectral action on Lorentzian scattering spaces

Authors: Nguyen Viet Dang, Michał Wrochna

Comments: 65 pages; v4: Prop. 3.16 fixed and other minor corrections, accepted in J. Eur. Math. Soc. (JEMS)

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Spectral Theory (math.SP)

[11]  arXiv:2012.00734 [pdf, other]

Title: Spectral decomposition and decay to grossly determined solutions for a simplified BGK model

Authors: Alim Sukhtayev, Kevin Zumbrun

Subjects: Analysis of PDEs (math.AP)

[12]  arXiv:2012.00799 [pdf, other]

Title: On the Regularity of Optimal Dynamic Blocking Strategies

Authors: Alberto Bressan, Maria Teresa Chiri

Comments: 46 pages, 16 figure

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Optimization and Control (math.OC)

[13]  arXiv:2012.00929 [pdf, ps, other]

Title: Instability of the soliton for the focusing, mass-critical generalized KdV equation

Authors: Benjamin Dodson, Cristian Gavrus

Comments: 34 pages

Subjects: Analysis of PDEs (math.AP)

[14]  arXiv:2012.00973 [pdf, ps, other]

Title: A Trudinger-Moser inequality with mean value zero on a compact Riemann surface with boundary

Authors: Mengjie Zhang

Comments: arXiv admin note: substantial text overlap with arXiv:1911.07299

Subjects: Analysis of PDEs (math.AP)

[15]  arXiv:2012.01018 [pdf, ps, other]

Title: Small Knudsen rate of convergence to rarefaction wave for the Landau equation

Authors: Renjun Duan, Dongcheng Yang, Hongjun Yu

Comments: 48 pages. Submitted. Comments are most welcome

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[16]  arXiv:2012.01060 [pdf, ps, other]

Title: Low regularity solutions of two-dimensional compressible Euler equations with dynamic vorticity

Authors: Huali Zhang

Comments: 42 pages

Subjects: Analysis of PDEs (math.AP)

[17]  arXiv:2012.01142 [pdf, ps, other]

Title: Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation

Authors: Vanja Nikolić, Belkacem Said-Houari

Subjects: Analysis of PDEs (math.AP)

[18]  arXiv:2012.01484 [pdf, ps, other]

Title: Some observations on high-dimensional partial differential equations with Barron data

Authors: Weinan E, Stephan Wojtowytsch

Subjects: Analysis of PDEs (math.AP); Machine Learning (cs.LG)

[19]  arXiv:2012.01535 [pdf, ps, other]

Title: Local well-posedness for the Landau-Lifshitz equation with helicity term

Authors: Ikkei Shimizu

Journal-ref: J. Math. Phys. 63 (2022), 091505

Subjects: Analysis of PDEs (math.AP)

[20]  arXiv:2012.01730 [pdf, ps, other]

Title: On initial-boundary value problem of the stochastic Navier--Stokes equations in the half space

Authors: Tongkeun Chang, Minsuk Yang

Subjects: Analysis of PDEs (math.AP)

[21]  arXiv:2012.01795 [pdf, ps, other]

Title: Local-in-time existence of strong solutions to a class of compressible non-Newtonian Navier-Stokes equations

Authors: Martin Kalousek, Václav Mácha, Šárka Nečasová

Subjects: Analysis of PDEs (math.AP)

[22]  arXiv:2012.01855 [pdf, other]

Title: On instability mechanisms for inverse problems

Authors: Herbert Koch, Angkana Rüland, Mikko Salo

Comments: 93 pages, 1 figure, comments welcome, corrected some typos

Journal-ref: Ars Inveniendi Analytica (2021), Paper No. 7, 93 pp

Subjects: Analysis of PDEs (math.AP)

[23]  arXiv:2012.01906 [pdf, ps, other]

Title: Pencil-beam approximation of fractional Fokker-Planck

Authors: Guillaume Bal, Benjamin Palacios

Subjects: Analysis of PDEs (math.AP)

[24]  arXiv:2012.01923 [pdf, ps, other]

Title: Global well-posedness for the derivative nonlinear Schrödinger equation

Authors: Hajer Bahouri, Galina Perelman

Subjects: Analysis of PDEs (math.AP)

[25]  arXiv:2012.01951 [pdf, other]

Title: Multiple solutions for some strongly degenerate second order elliptic equations

Authors: João R. Santos Junior, Gaetano Siciliano

Comments: Comments and suggestions are welcome

Subjects: Analysis of PDEs (math.AP)

[26]  arXiv:2012.01966 [pdf, ps, other]

Title: Deterministic particle approximation of aggregation-diffusion equations on unbounded domains

Authors: Sara Daneri, Emanuela Radici, Eris Runa

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[27]  arXiv:2012.02002 [pdf, other]

Title: Lipschitz stability for Backward Heat Equation with application to Fluorescence Microscopy

Authors: Pablo Arratia, Matias Courdurier, Evelyn Cueva, Axel Osses, Benjamin Palacios

Subjects: Analysis of PDEs (math.AP)

[28]  arXiv:2012.02084 [pdf, ps, other]

Title: Global existence of solutions and smoothing effects for classes of reaction-diffusion equations on manifolds

Authors: Gabriele Grillo, Giulia Meglioli, Fabio Punzo

Comments: 29 pages. arXiv admin note: text overlap with arXiv:2006.10354

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[29]  arXiv:2012.02156 [pdf, ps, other]

Title: Carleman estimates and controllability results for fully-discrete approximations of 1-D parabolic equations

Authors: Víctor Hernández-Santamaría, Pedro González Casanova

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Optimization and Control (math.OC)

[30]  arXiv:2012.02261 [pdf, ps, other]

Title: Global W^1,p regularity for an elliptic problem with measure source and Leray-Hardy potential,

Authors: Huyuan Chen, Hichem Hajaiej

Comments: 25

Subjects: Analysis of PDEs (math.AP)

[31]  arXiv:2012.02313 [pdf, ps, other]

Title: Periodic solutions for one-dimensional nonlinear nonlocal problem with drift including singular nonlinearities

Authors: Lisbeth Carrero, Alexander Quaas

Comments: This paper has 24 pages and was submitted to Journal Proc. A Royal Soc. Edinburgh

Subjects: Analysis of PDEs (math.AP)

[32]  arXiv:2012.02365 [pdf, other]

Title: A Hele-Shaw limit without monotonicity

Authors: Nestor Guillen, Inwon Kim, Antoine Mellet

Comments: 33 pages, 2 figures

Journal-ref: Archive for Rational Mechanics and Analysis, 2022

Subjects: Analysis of PDEs (math.AP)

[33]  arXiv:2012.02382 [pdf, ps, other]

Title: On 3D Hall-MHD equations with fractional Laplacians: global well-posedness

Authors: Huali Zhang, Kun Zhao

Comments: 27 pages. Welcome all comments

Journal-ref: Journal of Mathematical Fluid Mechanics,2021

Subjects: Analysis of PDEs (math.AP)

[34]  arXiv:2012.02386 [pdf, ps, other]

Title: Stability threshold for 2D shear flows of the Boussinesq system near Couette

Authors: Dongfen Bian, Xueke Pu

Subjects: Analysis of PDEs (math.AP)

[35]  arXiv:2012.02448 [pdf, ps, other]

Title: Boundary value problems and Hardy spaces for elliptic systems with block structure

Authors: Pascal Auscher (LMO), Moritz Egert (LMO, TU Darmstadt)

Comments: This is a preprint of the following work: P. Auscher and M. Egert, Boundary value problems and Hardy spaces for elliptic systems with block structure, 2023, Birkh\"auser reproduced with permission of Birkh\"auser. The final authenticated version is available online at: this https URL We have corrected and clarified the statements of Propositions 8.28 and 8.31

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)

[36]  arXiv:2012.02450 [pdf, ps, other]

Title: Well-posedness for the Boussinesq system in critical spaces via maximal regularity

Authors: Lorenzo Brandolese (IGD), Sylvie Monniaux (I2M)

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[37]  arXiv:2012.02490 [pdf, other]

Title: Anisotropic curvature flow of immersed networks

Authors: Heiko Kroener, Matteo Novaga, Paola Pozzi

Comments: 39 pages, 1 figure

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Differential Geometry (math.DG)

[38]  arXiv:2012.02564 [pdf, ps, other]

Title: EDP-convergence for a linear reaction-diffusion system with fast reversible reaction

Authors: Artur Stephan

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Functional Analysis (math.FA); Probability (math.PR)

[39]  arXiv:2012.02654 [pdf, ps, other]

Title: Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori

Authors: Dario Bambusi, Beatrice Langella, Riccardo Montalto

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[40]  arXiv:2012.02656 [pdf, other]

Title: Analyticity of the solutions to degenerate Monge-Ampère equations

Authors: Genggeng Huang, Yingshu Lü

Subjects: Analysis of PDEs (math.AP)

[41]  arXiv:2012.02667 [pdf, other]

Title: Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets

Authors: Thierry De Pauw, Robert Hardt

Subjects: Analysis of PDEs (math.AP)

[42]  arXiv:2012.02722 [pdf, other]

Title: Asymptotic stability of critical pulled fronts via resolvent expansions near the essential spectrum

Authors: Montie Avery, Arnd Scheel

Comments: 37 pages, 3 figures

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[43]  arXiv:2012.02784 [pdf, ps, other]

Title: Well-posedness and direct internal stability of coupled non-degenrate Kirchhoff system via heat conduction

Authors: Akram Ben Aissa

Subjects: Analysis of PDEs (math.AP)

[44]  arXiv:2012.02843 [pdf, ps, other]

Title: Kolmogorov operator with the vector field in Nash class

Authors: D. Kinzebulatov, Yu.A. Semenov

Comments: Added references, improved presentation

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[45]  arXiv:2012.02871 [pdf, other]

Title: On the quasiconvex hull for a three-well problem in two dimensional linear elasticity

Authors: Antonio Capella, Lauro Morales

Comments: 29 pages, 5 figures

Subjects: Analysis of PDEs (math.AP)

[46]  arXiv:2012.02908 [pdf, ps, other]

Title: Rates of Convergence in Periodic Homogenization of Nonlocal Hamilton-Jacobi-Bellman Equations

Authors: Andrei Rodríguez-Paredes, Erwin Topp

Subjects: Analysis of PDEs (math.AP)

[47]  arXiv:2012.02956 [pdf, ps, other]

Title: Global regularity and time decay for the SQG equation with anisotropic fractional dissipation

Authors: Zhuan Ye

Comments: 56 pages, some theorems and references are added inthis new version

Subjects: Analysis of PDEs (math.AP)

[48]  arXiv:2012.02971 [pdf, ps, other]

Title: Global regularity for the 3D compressible magnetohydrodynamics with general pressure

Authors: Anthony Suen

Comments: arXiv admin note: text overlap with arXiv:2011.05651

Subjects: Analysis of PDEs (math.AP)

[49]  arXiv:2012.02982 [pdf, ps, other]

Title: On exponential moments of the homogeneous Boltzmann equation for hard potentials without cutoff

Authors: Nicolas Fournier

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[50]  arXiv:2012.02989 [pdf, ps, other]

Title: Obtaining a representation of the solution to the Cauchy problem for equation high-order fractional derivative, by the method of finding self-similar solutions

Authors: B.Yu.Irgashev

Comments: 14 pages

Subjects: Analysis of PDEs (math.AP)

[51]  arXiv:2012.03163 [pdf, ps, other]

Title: Kroger's upper bound types for the Dirichlet eigenvalues of the fractional Laplacian

Authors: Ying Wang, Hongxing Chen, Hichem Hajaiej

Comments: 11 pages

Subjects: Analysis of PDEs (math.AP)

[52]  arXiv:2012.03302 [pdf, ps, other]

Title: Existence results for double phase problems depending on Robin and Steklov eigenvalues for the $p$-Laplacian

Authors: Said El Manouni, Greta Marino, Patrick Winkert

Subjects: Analysis of PDEs (math.AP)

[53]  arXiv:2012.03329 [pdf, ps, other]

Title: Continuity of family of Calderón projections

Authors: Bernhelm Booss-Bavnbek, Jian Deng, Yuting Zhou, Chaofeng Zhu

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[54]  arXiv:2012.03336 [pdf, other]

Title: Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study

Authors: Svetlana Roudenko, Zhongming Wang, Kai Yang

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[55]  arXiv:2012.03401 [pdf, ps, other]

Title: A viscosity solution approach to regularity properties of the optimal value function

Authors: Ochoa Pablo, Virginia N. Vera de Serio

Subjects: Analysis of PDEs (math.AP)

[56]  arXiv:2012.03435 [pdf, ps, other]

Title: Relativistic perfect fluids near Kasner singularities

Authors: Florian Beyer, Todd A. Oliynyk

Subjects: Analysis of PDEs (math.AP); General Relativity and Quantum Cosmology (gr-qc)

[57]  arXiv:2012.03489 [pdf, ps, other]

Title: The estimate of lifespan and local well-posedness for the non-resistive MHD equations in homogeneous Besov spaces

Authors: Weikui Ye, Wei Luo, Zhaoyang Yin

Subjects: Analysis of PDEs (math.AP)

[58]  arXiv:2012.03549 [pdf, other]

Title: Effective mass theorems with Bloch modes crossings

Authors: Victor Chabu (USP), Clotilde Fermanian Kammerer (UPEC UP12), Fabricio Macià (UPM)

Subjects: Analysis of PDEs (math.AP)

[59]  arXiv:2012.03553 [pdf, ps, other]

Title: The volume-preserving Willmore flow

Authors: Fabian Rupp

Comments: 38 pages. Shortened and restructured final version. To appear in Nonlinear Analysis

Journal-ref: Nonlinear Anal. 230 (2023), 113220

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[60]  arXiv:2012.03615 [pdf, ps, other]

Title: Heat kernel estimates for fourth order non-uniformly elliptic operators with non strongly convex symbols

Authors: Gerassimos Barbatis, Panagiotis Branikas

Comments: 11 pages; minor corrections

Subjects: Analysis of PDEs (math.AP)

[61]  arXiv:2012.03641 [pdf, ps, other]

Title: Existence of solution for a class of indefinite variational problems with discontinuous nonlinearity

Authors: Claudianor O. Alves, Geovany F. Patricio

Subjects: Analysis of PDEs (math.AP)

[62]  arXiv:2012.03654 [pdf, other]

Title: Potential theory for a class of strongly degenerate parabolic operators of Kolmogorov type with rough coefficients

Authors: M. Litsgård, K. Nyström

Subjects: Analysis of PDEs (math.AP)

[63]  arXiv:2012.03764 [pdf, ps, other]

Title: Topology optimization for quasistatic elastoplasticity

Authors: Stefano Almi, Ulisse Stefanelli

Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[64]  arXiv:2012.03792 [pdf, ps, other]

Title: Global existence analysis of energy-reaction-diffusion systems

Authors: Julian Fischer, Katharina Hopf, Michael Kniely, Alexander Mielke

Comments: To appear in SIAM Journal on Mathematical Analysis

Subjects: Analysis of PDEs (math.AP)

[65]  arXiv:2012.03813 [pdf, other]

Title: Long-time correlations for a hard-sphere gas at equilibrium

Authors: Thierry Bodineau, Isabelle Gallagher (UPD7, DMA), Laure Saint-Raymond, Sergio Simonella

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Probability (math.PR)

[66]  arXiv:2012.03867 [pdf, ps, other]

Title: Constant rank theorems for curvature problems via a viscosity approach

Authors: Paul Bryan, Mohammad N. Ivaki, Julian Scheuer

Comments: 22 pages

Journal-ref: Calc. Var. Partial Differ. Equ. 62, no. 3, art. 98, (2023)

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[67]  arXiv:2012.04016 [pdf, ps, other]

Title: On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians

Authors: Huyuan Chen, Mousomi Bhakta, Hichem Hajaiej

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[68]  arXiv:2012.04154 [src]

Title: Nonlinear Stability at the Zigzag Boundary

Authors: Mason Haberle, Abhijit Chowdhary, Qiliang Wu

Comments: Corrected version uploaded by a coauthor

Subjects: Analysis of PDEs (math.AP)

[69]  arXiv:2012.04275 [pdf, ps, other]

Title: Optimization of spatial control strategies for population replacement, application to Wolbachia

Authors: Michel Duprez (ICube, MIMESIS), Romane Hélie (TONUS, IRMA), Yannick Privat (TONUS, IRMA), Nicolas Vauchelet (LAGA)

Comments: ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, In press

Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[70]  arXiv:2012.04278 [pdf, ps, other]

Title: On the fine properties of parabolic measures associated to strongly degenerate parabolic operators of Kolmogorov type

Authors: M. Litsgård, K. Nyström

Subjects: Analysis of PDEs (math.AP)

[71]  arXiv:2012.04292 [pdf, ps, other]

Title: Conditional Stability of Coefficients Inverse Problem for Strongly Coupled Schrödinger Equations

Authors: Xiaomin Zhu, Fangfang Dou

Subjects: Analysis of PDEs (math.AP)

[72]  arXiv:2012.04374 [pdf, ps, other]

Title: Null-controllability of evolution equations associated with fractional Shubin operators through quantitative Agmon estimates

Authors: Paul Alphonse (UMPA-ENSL)

Subjects: Analysis of PDEs (math.AP)

[73]  arXiv:2012.04413 [pdf, ps, other]

Title: On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator

Authors: Andrew Comech, Elena A. Kopylova

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[74]  arXiv:2012.04435 [pdf, other]

Title: Quantitative stability of Gel'fand's inverse boundary problem

Authors: Dmitri Burago, Sergei Ivanov, Matti Lassas, Jinpeng Lu

Comments: introduction updated, to appear in Anal. PDE

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[75]  arXiv:2012.04449 [pdf, ps, other]

Title: Elliptic problem in an exterior domain driven by a singularity with a nonlocal Neumann condition

Authors: D. Choudhuri, K. Saoudi

Subjects: Analysis of PDEs (math.AP)

[76]  arXiv:2012.04453 [pdf, ps, other]

Title: Isolated singularities in the heat equation behaving like fractional Brownian motions

Authors: Mikihiro Fujii, Izumi Okada, Eiji Yanagida

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[77]  arXiv:2012.04548 [pdf, other]

Title: Remarks on stationary and uniformly-rotating vortex sheets: Rigidity results

Authors: Javier Gómez-Serrano, Jaemin Park, Jia Shi, Yao Yao

Comments: 31 pages, 4 figures

Subjects: Analysis of PDEs (math.AP)

[78]  arXiv:2012.04587 [pdf, other]

Title: A formula for membrane mediated point particle interactions on near spherical biomembranes

Authors: Charles M. Elliott, Philip J. Herbert

Subjects: Analysis of PDEs (math.AP)

[79]  arXiv:2012.04622 [pdf, ps, other]

Title: Admissible function spaces for weighted Sobolev inequalities

Authors: T.V. Anoop, Nirjan Biswas, Ujjal Das

Comments: 38 pages

Journal-ref: Communications on Pure and Applied Analysis 2021

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[80]  arXiv:2012.04742 [pdf, ps, other]

Title: Boundary Stabilization of the linear MGT equation with Feedback Neumann control

Authors: Marcelo Bongarti, Irena Lasiecka

Subjects: Analysis of PDEs (math.AP)

[81]  arXiv:2012.04749 [pdf, ps, other]

Title: Equivalence of variational principles to determine the speed of scalar reaction diffusion fronts

Authors: R. D. Benguria, M. C. Depassier

Subjects: Analysis of PDEs (math.AP)

[82]  arXiv:2012.04782 [pdf, ps, other]

Title: Microscopic conservation laws for integrable lattice models

Authors: Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan

Comments: 22 pages

Subjects: Analysis of PDEs (math.AP); Exactly Solvable and Integrable Systems (nlin.SI)

[83]  arXiv:2012.04805 [pdf, ps, other]

Title: Microscopic conservation laws for the derivative Nonlinear Schrödinger equation

Authors: Xingdong Tang, Guixiang Xu

Comments: 25 pages. Comments are welcome

Subjects: Analysis of PDEs (math.AP)

[84]  arXiv:2012.04807 [pdf, ps, other]

Title: A Fuchsian viewpoint on the weak null condition

Authors: Todd A. Oliynyk, J. Arturo Olvera-Santamaría

Comments: Typos corrected; agrees with published version

Journal-ref: J. Diff. Eqns. 296 (2021), 107-147

Subjects: Analysis of PDEs (math.AP)

[85]  arXiv:2012.04833 [pdf, ps, other]

Title: Non-symmetric stable operators: regularity theory and integration by parts

Authors: Serena Dipierro, Xavier Ros-Oton, Joaquim Serra, Enrico Valdinoci

Subjects: Analysis of PDEs (math.AP)

[86]  arXiv:2012.04870 [pdf, other]

Title: The Interior Inverse Electromagnetic Scattering for an Inhomogeneous Cavity

Authors: Fang Zeng, Shixu Meng

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[87]  arXiv:2012.04944 [pdf, ps, other]

Title: Inverse problems for elliptic equations with fractional power type nonlinearities

Authors: Tony Liimatainen, Yi-Hsuan Lin, Mikko Salo, Teemu Tyni

Comments: 24 pages

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[88]  arXiv:2012.04972 [pdf, ps, other]

Title: Corrector estimates for higher-order linearizations in stochastic homogenization of nonlinear uniformly elliptic equations

Authors: Sebastian Hensel

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[89]  arXiv:2012.04988 [pdf, ps, other]

Title: Remarks on blow-up criteria for the derivative nonlinear Schrodinger equation under the optimal threshold setting

Authors: HIdeo Takaoka

Comments: 16 pages

Subjects: Analysis of PDEs (math.AP)

[90]  arXiv:2012.04993 [pdf, ps, other]

Title: Radial solutions for a dynamic debonding model in dimension two

Authors: Giuliano Lazzaroni, Riccardo Molinarolo, Francesco Solombrino

Subjects: Analysis of PDEs (math.AP)

[91]  arXiv:2012.05026 [pdf, ps, other]

Title: Maximum principle for non-uniformly parabolic equations and applications

Authors: Xicheng Zhang

Comments: 30pages

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[92]  arXiv:2012.05048 [pdf, ps, other]

Title: Global well-posedness of one-dimensional compressible Navier-Stokes-Vlasov system

Authors: Hai-Liang Li, Ling-Yun Shou

Comments: 51 pages

Subjects: Analysis of PDEs (math.AP)

[93]  arXiv:2012.05103 [pdf, ps, other]

Title: Concentration solutions to singularly prescribed Gaussian and geodesic curvatures problem

Authors: LiPing Wang, Chunyi Zhao

Subjects: Analysis of PDEs (math.AP)

[94]  arXiv:2012.05317 [pdf, ps, other]

Title: On the compactness threshold in the critical Kirchhoff equation

Authors: Erisa Hasani, Kanishka Perera

Subjects: Analysis of PDEs (math.AP)

[95]  arXiv:2012.05374 [pdf, ps, other]

Title: The blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensions

Authors: Mohamed Ali Hamza, Hatem Zaag

Comments: arXiv admin note: substantial text overlap with arXiv:1906.12059

Subjects: Analysis of PDEs (math.AP)

[96]  arXiv:2012.05479 [pdf, other]

Title: Optimal singularities of initial functions for solvability of a semilinear parabolic system

Authors: Yohei Fujishima, Kazuhiro Ishige

Subjects: Analysis of PDEs (math.AP)

[97]  arXiv:2012.05518 [pdf, ps, other]

Title: An extended variational theory for nonlinear evolution equations via modular spaces

Authors: Alexander Menovschikov, Anastasia Molchanova, Luca Scarpa

Comments: 37 pages

Journal-ref: SIAM J. Math. Anal. 53 (2021), no. 4, 4865-4907

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[98]  arXiv:2012.05692 [pdf, other]

Title: Time-Global Regularity of the Navier-Stokes System with Hyper-Dissipation--Turbulent Scenario

Authors: Zoran Grujic, Liaosha Xu

Comments: Some parts rewritten for clarity, mainly in the introduction. arXiv admin note: text overlap with arXiv:1911.00974

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[99]  arXiv:2012.05755 [pdf, ps, other]

Title: Cavitation of a spherical body under mechanical and self gravitational forces

Authors: Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan

Comments: 24 pages, 8 figures

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[100]  arXiv:2012.05878 [pdf, ps, other]

Title: Asymptotic stability of small ground states for NLS under random perturbations

Authors: Nicolas Camps

Comments: 47 pages. Simplification of the globalization argument, by first proving the local existence and then using the a priori estimates, rather than doing the fixed point in large time directly. Improvement of the inhomogeneous bilinear estimate by using the local smoothing effect. Updated references

Subjects: Analysis of PDEs (math.AP)

[101]  arXiv:2012.05888 [pdf, ps, other]

Title: Stable Big Bang formation for Einstein's equations: The complete sub-critical regime

Authors: Grigorios Fournodavlos, Igor Rodnianski, Jared Speck

Comments: 72 pages. This version is equivalent to the published version. Features additional details on some proofs and corrections of minor errors

Journal-ref: Journal of the American Mathematical Society, volume 36, number 3, 2023

Subjects: Analysis of PDEs (math.AP); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[102]  arXiv:2012.05971 [pdf, other]

Title: Long-time behavior of solutions to the generalized Allen-Cahn model with degenerate diffusivity

Authors: Raffaele Folino, Luis F. López Ríos, Ramón G. Plaza

Comments: 33 pages, 2 figures

Journal-ref: Nonlinear Differ. Equ. Appl. 29, 45 (2022)

Subjects: Analysis of PDEs (math.AP)

[103]  arXiv:2012.05994 [pdf, ps, other]

Title: Some remarks on steady solutions to the Euler system in $\mathbb{R}^d$

Authors: Francesco Fanelli, Eduard Feireisl

Comments: Submitted

Subjects: Analysis of PDEs (math.AP)

[104]  arXiv:2012.06253 [pdf, ps, other]

Title: Hypocoercivity and global hypoellipticity for the kinetic Fokker-Planck equation in $H^k$ spaces

Authors: Chaoen Zhang

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[105]  arXiv:2012.06313 [pdf, ps, other]

Title: A sharp regularity estimate for the Schrödinger propagator on the sphere

Authors: Xianghong Chen, Xuan Thinh Duong, Sanghyuk Lee, Lixin Yan

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[106]  arXiv:2012.06347 [pdf, other]

Title: Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators

Authors: Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau, Stéphane Mischler, Clément Mouhot

Subjects: Analysis of PDEs (math.AP)

[107]  arXiv:2012.06352 [pdf, other]

Title: Understanding dynamics of Plasmodium falciparum gametocytes production: Insights from an age-structured model

Authors: Ramsès Djidjou-Demasse (MIVEGEC-Perturbations & Virulence in Populations & Communities), Arnaud Ducrot (LMAH), Nicole Mideo (EEB), Gaëtan Texier (VITROME)

Subjects: Analysis of PDEs (math.AP)

[108]  arXiv:2012.06437 [pdf, other]

Title: Weak formulations of the nonlinear Poisson-Boltzmann equation in biomolecular electrostatics

Authors: José A. Iglesias, Svetoslav Nakov

Comments: 36 pages, 2 figures

Journal-ref: Journal of Mathematical Analysis and Applications, 511(1):126065, 2022

Subjects: Analysis of PDEs (math.AP); Biological Physics (physics.bio-ph)

[109]  arXiv:2012.06443 [pdf, other]

Title: Universal selection of pulled fronts

Authors: Montie Avery, Arnd Scheel

Comments: 59 pages, 2 figures

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[110]  arXiv:2012.06497 [pdf, ps, other]

Title: Physical Relaxation Terms for Compressible Two-Phase Systems

Authors: Didier Bresch, Cosmin Burtea, Frédéric Lagoutière

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Fluid Dynamics (physics.flu-dyn)

[111]  arXiv:2012.06610 [pdf, other]

Title: Ergodicity and invariant measures for a diffusing passive scalar advected by a random channel shear flow and the connection between the Kraichnan-Majda model and Taylor-Aris Dispersion

Authors: Lingyun Ding, Richard M. McLaughlin

Subjects: Analysis of PDEs (math.AP); Probability (math.PR); Fluid Dynamics (physics.flu-dyn)

[112]  arXiv:2012.06617 [pdf, ps, other]

Title: Pullback and uniform attractors for nonautonomous reaction-diffusion equation in Dumbbell domains

Authors: Maykel Belluzi, Tomás Caraballo, Marcelo J. D. Nascimento, Karina Schiabel

Comments: 29 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[113]  arXiv:2012.06626 [pdf, other]

Title: On the symmetric lamination convex and quasiconvex hull for the coplanar n-well problem in two dimensions

Authors: Antonio Capella, Lauro Morales

Comments: 25 pages, 14 images

Subjects: Analysis of PDEs (math.AP)

[114]  arXiv:2012.06732 [pdf, ps, other]

Title: Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces

Authors: Tadahiro Oh, Kihoon Seong

Comments: 40 pages. Updated references

Journal-ref: J. Funct. Anal. 281 (2021), no. 9, 109150, 49 pp

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[115]  arXiv:2012.06786 [pdf, ps, other]

Title: Blow-up rate of sign-changing solutions to nonlinear parabolic systems

Authors: Erbol Zhanpeisov

Comments: 22 pages

Subjects: Analysis of PDEs (math.AP)

[116]  arXiv:2012.06799 [pdf, ps, other]

Title: The Loewner-Nirenberg Problem in Cones

Authors: Qing Han, Xumin Jiang, Weiming Shen

Subjects: Analysis of PDEs (math.AP)

[117]  arXiv:2012.06804 [pdf, other]

Title: Sharp critical thresholds in a hyperbolic system with relaxation

Authors: Manas Bhatnagar, Hailiang Liu

Comments: 19 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[118]  arXiv:2012.06817 [pdf, other]

Title: Sharp and plain estimates for Schrödinger perturbation of Gaussian kernel

Authors: Tomasz Jakubowski, Karol Szczypkowski

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[119]  arXiv:2012.06832 [pdf, other]

Title: A non-iterative sampling method for inverse elastic wave scattering by rough surfaces

Authors: Tielei Zhu, Jiaqing Yang

Comments: 19 pages, 13 figures

Subjects: Analysis of PDEs (math.AP)

[120]  arXiv:2012.06879 [pdf, ps, other]

Title: On some general multiplying solutions results of a Robin problem

Authors: Ismail Aydin, Cihan Unal

Comments: 10 pages

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[121]  arXiv:2012.07028 [pdf, ps, other]

Title: Uniqueness of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force

Authors: Anthony Suen

Comments: arXiv admin note: text overlap with arXiv:2011.14581

Subjects: Analysis of PDEs (math.AP)

[122]  arXiv:2012.07031 [pdf, ps, other]

Title: Existence of solution for a class of elliptic equation with discontinuous nonlinearity and asymptotically linear

Authors: Claudianor O. Alves, Geovany F. Patricio

Subjects: Analysis of PDEs (math.AP)

[123]  arXiv:2012.07045 [pdf, ps, other]

Title: Existence and uniqueness of axially symmetric compressible subsonic jet impinging on an infinite wall

Authors: Jianfeng Cheng, Lili Du, Qin Zhang

Comments: Accepted for publicaiton in Interfaces and Free Boudanries. 61 pages, 6 figures

Subjects: Analysis of PDEs (math.AP)

[124]  arXiv:2012.07059 [pdf, ps, other]

Title: On Variations of Neumann Eigenvalues of p-Laplacian Generated by Measure Preserving Quasiconformal Mappings

Authors: Valerii Pchelintsev

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[125]  arXiv:2012.07109 [pdf, other]

Title: Uniform Stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping

Authors: Akram Ben Aissa

Subjects: Analysis of PDEs (math.AP)

[126]  arXiv:2012.07169 [pdf, other]

Title: An elliptic adaptation of ideas of Carleman and Domar from complex analysis related to Levinson's log log theorem

Authors: Alexander Logunov, Hristo Papazov

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Complex Variables (math.CV)

[127]  arXiv:2012.07270 [pdf, ps, other]

Title: Strichartz estimates in Wiener amalgam spaces and applications to nonlinear wave equations

Authors: Seongyeon Kim, Youngwoo Koh, Ihyeok Seo

Comments: To appear in J. Funct. Anal., 24 pages

Subjects: Analysis of PDEs (math.AP)

[128]  arXiv:2012.07326 [pdf, ps, other]

Title: Entropy inequality and energy dissipation of inertial Qian-Sheng model for nematic liquid crystals

Authors: Ning Jiang, Yi-Long Luo, Yangjun Ma, Shaojun Tang

Comments: 26 pages, accepted by Journal of Hyperbolic Differential Equations. All comments welcome

Journal-ref: J. Hyperbolic Differ. Equ. 18 (2021) 221-256

Subjects: Analysis of PDEs (math.AP)

[129]  arXiv:2012.07391 [pdf, ps, other]

Title: Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits

Authors: Martina Hofmanova, Ujjwal Koley, Utsab Sarkar

Comments: 35 pages

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Probability (math.PR)

[130]  arXiv:2012.07435 [pdf, ps, other]

Title: $L^{p}$-estimates for the Hessians of solutions to fully nonlinear parabolic equations with oblique boundary conditions

Authors: Sun-Sig Byun, Jeongmin Han

Subjects: Analysis of PDEs (math.AP)

[131]  arXiv:2012.07442 [pdf, ps, other]

Title: On $W^{2,p}$-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions

Authors: Sun-Sig Byun, Jeongmin Han, Jehan Oh

Subjects: Analysis of PDEs (math.AP)

[132]  arXiv:2012.07446 [pdf, ps, other]

Title: A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type

Authors: M. Litsgård, K. Nyström

Journal-ref: Analysis & PDE 16 (2023) 1547-1588

Subjects: Analysis of PDEs (math.AP)

[133]  arXiv:2012.07473 [pdf, other]

Title: The volume of the boundary of a Sobolev $(p,q)$-extension domain

Authors: Pekka Koskela, Alexander Ukhlov, Zheng Zhu

Comments: 44 pages, 3 figures

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[134]  arXiv:2012.07476 [pdf, ps, other]

Title: On the long time behavior of compressible fluid flows excited by random forcing

Authors: Dominic Breit, Eduard Feireisl, Martina Hofmanova

Subjects: Analysis of PDEs (math.AP)

[135]  arXiv:2012.07503 [pdf, ps, other]

Title: Thermalization of a rarefied gas with total energy conservation: existence, hypocoercivity, macroscopic limit

Authors: Gianluca Favre, Marlies Pirner, Christian Schmeiser

Subjects: Analysis of PDEs (math.AP)

[136]  arXiv:2012.07650 [pdf, other]

Title: The p-Laplacian in thin channels with locally periodic rough boundaries

Authors: J. C. Nakasato, M. C. Pereira

Subjects: Analysis of PDEs (math.AP)

[137]  arXiv:2012.07670 [pdf, ps, other]

Title: A spectral characterization and an approximation scheme for the Hessian eigenvalue

Authors: Nam Q. Le

Comments: v3: final version incorporating suggestions from the referee reports; to be published in Rev. Mat. Iberoam. This paper supersedes arXiv:2006.06564

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[138]  arXiv:2012.07687 [pdf, other]

Title: Linear Stability of solitary waves for the isothermal Euler-Poisson system

Authors: Junsik Bae, Bongsuk Kwon

Subjects: Analysis of PDEs (math.AP)

[139]  arXiv:2012.07736 [pdf, other]

Title: Mathematical Models for Erosion and the Optimal Transportation of Sediment

Authors: Björn Birnir, Julie Rowlett

Comments: This was published in the International Journal of Nonlinear Sciences and Numerical Simulation in 2013. According to the publisher's policies, after 12 months, the article can be made available here!

Journal-ref: International Journal of Nonlinear Sciences and Numerical Simulation, vol. 14, no. 6, 2013, pp. 323-337

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Fluid Dynamics (physics.flu-dyn); Geophysics (physics.geo-ph)

[140]  arXiv:2012.07768 [pdf, ps, other]

Title: Kinetic maximal $L^p$-regularity with temporal weights and application to quasilinear kinetic diffusion equations

Authors: Lukas Niebel, Rico Zacher

Subjects: Analysis of PDEs (math.AP)

[141]  arXiv:2012.07794 [pdf, ps, other]

Title: Principal spectral curves for Lane-Emden fully nonlinear type systems and applications

Authors: Ederson Moreira dos Santos, Gabrielle Nornberg, Delia Schiera, Hugo Tavares

Comments: 42 pages

Subjects: Analysis of PDEs (math.AP)

[142]  arXiv:2012.08064 [pdf, ps, other]

Title: Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces II

Authors: Kazuhiro Ishige, Yujiro Tateishi

Subjects: Analysis of PDEs (math.AP)

[143]  arXiv:2012.08118 [pdf, ps, other]

Title: An $L_q(L_p)$-theory for diffusion equations with space-time nonlocal operators

Authors: Kyeong-hun Kim, Daehan Park, Junhee Ryu

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[144]  arXiv:2012.08219 [pdf, ps, other]

Title: On the stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force

Authors: Mohammad Akil, Haidar Badawi, Serge Nicaise, Ali Wehbe

Comments: arXiv admin note: text overlap with arXiv:2008.11596, arXiv:2007.08316

Subjects: Analysis of PDEs (math.AP)

[145]  arXiv:2012.08222 [pdf, ps, other]

Title: On Métivier's Lax-Mizohata theorem and extensions to weak defects of hyperbolicity. Part one

Authors: Karim Ndoumajoud, Benjamin Texier

Subjects: Analysis of PDEs (math.AP)

[146]  arXiv:2012.08291 [pdf, ps, other]

Title: Approximation of BV functions by neural networks: A regularity theory approach

Authors: Benny Avelin, Vesa Julin

Subjects: Analysis of PDEs (math.AP); Machine Learning (stat.ML)

[147]  arXiv:2012.08301 [pdf, ps, other]

Title: Local dispersive and Strichartz estimates for the Schr{ö}dinger operator on the Heisenberg group

Authors: Hajer Bahouri (LJLL), Isabelle Gallagher (DMA)

Subjects: Analysis of PDEs (math.AP)

[148]  arXiv:2012.08311 [pdf, ps, other]

Title: The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 2

Authors: Tony Lelièvre (CERMICS), Dorian Le Peutrec (IDP), Boris Nectoux (LMBP)

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Probability (math.PR)

[149]  arXiv:2012.08350 [pdf, ps, other]

Title: SBV regularity for Burgers-Poisson equation

Authors: Steven Gilmore, Khai T. Nguyen

Comments: 14 pages

Subjects: Analysis of PDEs (math.AP)

[150]  arXiv:2012.08354 [pdf, ps, other]

Title: Dispersive estimates for the wave and the Klein-Gordon equations in large time inside the Friedlander domain

Authors: Oana Ivanovici (LJLL)

Subjects: Analysis of PDEs (math.AP)

[151]  arXiv:2012.08366 [pdf, other]

Title: Dispersion for the wave and Schrödinger equations outside a ball and counterexamples

Authors: Oana Ivanovici (LJLL), Gilles Lebeau (JAD)

Subjects: Analysis of PDEs (math.AP)

[152]  arXiv:2012.08373 [pdf, other]

Title: Separation of scales: Dynamical approximations for composite quantum systems

Authors: Irene Burghardt, Rémi Carles (IRMAR), Clotilde Fermanian Kammerer (LAMA), Benjamin Lasorne (ICGM ICMMM), Caroline Lasser

Comments: Title changed, Section 3.3 reorganized, new Section 6 (numerical example)

Journal-ref: J. Phys. A 54 (2021), no. 41, 414002

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Chemical Physics (physics.chem-ph)

[153]  arXiv:2012.08374 [pdf, ps, other]

Title: Global Regularity to Incompressible Viscoelastic System With a Class of Large Initial Data

Authors: Yi Zhu

Comments: 16 pages

Subjects: Analysis of PDEs (math.AP)

[154]  arXiv:2012.08416 [pdf, ps, other]

Title: A Strong Maximum Principle and a Compact Support Principle for infinity Laplacian

Authors: Anup Biswas

Comments: 12 pages, interesting comments are most welcome

Subjects: Analysis of PDEs (math.AP)

[155]  arXiv:2012.08438 [pdf, ps, other]

Title: An extension problem, trace Hardy and Hardy's inequalities for Ornstein-Uhlenbeck operator

Authors: Pritam Ganguly, Ramesh Manna, Sundaram Thangavelu

Comments: 42 pages

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[156]  arXiv:2012.08490 [pdf, ps, other]

Title: Stationary Flows of the ES-BGK model with the correct Prandtl number

Authors: Stephane Brull, Seok-Bae Yun

Subjects: Analysis of PDEs (math.AP)

[157]  arXiv:2012.08586 [pdf, other]

Title: Fast Diffusion leads to partial mass concentration in Keller-Segel type stationary solutions

Authors: J.A. Carrillo, M.G. Delgadino, R.L. Frank, M. Lewin

Subjects: Analysis of PDEs (math.AP)

[158]  arXiv:2012.08635 [pdf, other]

Title: Analysis of obstacles immersed in viscous fluids using Brinkman's law for steady Stokes and Navier-Stokes equations

Authors: Jorge Aguayo, Hugo Carrillo

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[159]  arXiv:2012.08696 [pdf, ps, other]

Title: Non-uniform continuity on initial data for the two-component b-family system in Besov space

Authors: Xing Wu, Cui Li, Jie Cao

Comments: This paper has been submitted. arXiv admin note: text overlap with arXiv:2011.10723

Subjects: Analysis of PDEs (math.AP)

[160]  arXiv:2012.08709 [pdf, ps, other]

Title: Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results

Authors: Javier Gómez-Serrano, Jaemin Park, Jia Shi, Yao Yao

Comments: 22 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[161]  arXiv:2012.08766 [pdf, ps, other]

Title: Hardy's inequalities with non-doubling weights and sharp remainders

Authors: Toshio Horiuchi

Comments: arXiv admin note: text overlap with arXiv:1909.10689

Subjects: Analysis of PDEs (math.AP)

[162]  arXiv:2012.08778 [pdf, ps, other]

Title: Observability results related to fractional Schrödinger operators

Authors: Fabricio Macià

Comments: 19 pages. To appear in Vietnam Journal of Mathematics, S.I. 'Dedication to Enrique Zuazua's 60th birthday'

Subjects: Analysis of PDEs (math.AP)

[163]  arXiv:2012.08792 [pdf, ps, other]

Title: Decay for the nonlinear KdV equations at critical lengths

Authors: Hoai-Minh Nguyen

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Optimization and Control (math.OC)

[164]  arXiv:2012.08807 [pdf, other]

Title: Mean-field and graph limits for collective dynamics models with time-varying weights

Authors: Nathalie Ayi (SU, LJLL (UMR\_7598)), Nastassia Pouradier Duteil (MAMBA, SU, LJLL (UMR\_7598))

Subjects: Analysis of PDEs (math.AP)

[165]  arXiv:2012.08838 [pdf, ps, other]

Title: Local $L^p$ norms of Schr{ö}dinger eigenfunctions on $\mathbb{S}^2$

Authors: Gabriel Rivière (LMJL)

Comments: 28 pages, minor modifications. To appear in Annales math{\'e}matiques du Qu{\'e}bec (special volume in honor of Alexander Shnirelman)

Journal-ref: Annales math{\'e}matiques du Qu{\'e}bec, Springer, In press

Subjects: Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[166]  arXiv:2012.08914 [pdf, ps, other]

Title: A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains

Authors: Elisa Davoli, Tomáš Roubíček, Ulisse Stefanelli

Subjects: Analysis of PDEs (math.AP)

[167]  arXiv:2012.08978 [pdf, ps, other]

Title: Semiclassical solutions for critical Schrödinger-Poisson systems involving multiple competing potentials

Authors: Lingzheng Kong, Haibo Chen

Subjects: Analysis of PDEs (math.AP)

[168]  arXiv:2012.09038 [pdf, other]

Title: Pseudo-monotone operator theory for unsteady problems in variable exponent spaces

Authors: A. Kaltenbach

Comments: 30 pages, one figure

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[169]  arXiv:2012.09055 [pdf, ps, other]

Title: Degree Counting Theorems for 2x2 non-symmetric singular Liouville Systems

Authors: Yi Gu

Comments: 13 pages

Subjects: Analysis of PDEs (math.AP)

[170]  arXiv:2012.09059 [pdf, ps, other]

Title: A Galilei Invariant Version of Yong's Model

Authors: Heinrich Freistuhler

Subjects: Analysis of PDEs (math.AP)

[171]  arXiv:2012.09080 [pdf, ps, other]

Title: The Flow of Polynomial Roots Under Differentiation

Authors: Alexander Kiselev, Changhui Tan

Comments: 87 Pages

Subjects: Analysis of PDEs (math.AP)

[172]  arXiv:2012.09103 [pdf, other]

Title: Sharpening of decay rates in Fourier based hypocoercivity methods

Authors: Anton Arnold, Jean Dolbeault, Christian Schmeiser, Tobias Wöhrer

Subjects: Analysis of PDEs (math.AP)

[173]  arXiv:2012.09261 [pdf, other]

Title: Sharp a-contraction estimates for small extremal shocks

Authors: William Golding, Sam Krupa, Alexis Vasseur

Comments: 41 pages, 2 figures, minor correction to lemma 4.2 and corresponding changes to section 4

Journal-ref: J. Hyperbolic Differ. Equ., 20(3):541--602, 2023

Subjects: Analysis of PDEs (math.AP)

[174]  arXiv:2012.09397 [pdf, ps, other]

Title: Structures of sets of solutions to the Hartree-Fock equation

Authors: Sohei Ashida

Comments: arXiv admin note: text overlap with arXiv:2002.07426

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[175]  arXiv:2012.09441 [pdf, ps, other]

Title: Can a population survive in a shifting environment using non-local dispersion

Authors: Jérôme Coville (BioSP)

Subjects: Analysis of PDEs (math.AP)

[176]  arXiv:2012.09450 [pdf, ps, other]

Title: Regularity of Solutions to the Fractional Cheeger-Laplacian on Domains in Metric Spaces of Bounded Geometry

Authors: Sylvester Eriksson-Bique, Gianmarco Giovannardi, Riikka Korte, Nageswari Shanmugalingam, Gareth Speight

Comments: 42 pages, comments welcome, submitted. Revision to add crucial references and attributions to the introduction

Subjects: Analysis of PDEs (math.AP); Metric Geometry (math.MG)

[177]  arXiv:2012.09512 [pdf, ps, other]

Title: The maximum regularity property of the steady Stokes problem associated with a flow through a profile cascade in $L^r$-framework

Authors: Tomáš Neustupa

Comments: arXiv admin note: text overlap with arXiv:2009.08234, arXiv:2006.15651

Subjects: Analysis of PDEs (math.AP)

[178]  arXiv:2012.09657 [pdf, ps, other]

Title: Formation of Singularities in Plasma Ion Dynamics

Authors: Junsik Bae, Junho Choi, Bongsuk Kwon

Comments: 25 pages, 7 figures, 2 tables, the article entitled "formation of singularities in cold ion dynamics" (14 pages, 4 figures, 1 table) reorganized including the isothermal pressure case, introduction and numerical experiments sections rewritten accordingly

Subjects: Analysis of PDEs (math.AP)

[179]  arXiv:2012.09685 [pdf, ps, other]

Title: Parabolic Harnack estimates for anisotropic slow diffusion

Authors: Simone Ciani, Sunra Mosconi, Vincenzo Vespri

Comments: Version3: corrected misprints, clarified some proofs and added 2 figures

Subjects: Analysis of PDEs (math.AP)

[180]  arXiv:2012.09697 [pdf, ps, other]

Title: Some stability inequalities for hybrid inverse problems

Authors: Mourad Choulli

Subjects: Analysis of PDEs (math.AP)

[181]  arXiv:2012.09734 [pdf, other]

Title: Global dynamics in nonconservative nonlinear Schrödinger equations

Authors: Jonathan Jaquette, Jean-Philippe Lessard, Akitoshi Takayasu

Comments: 51 pages, 8 figures

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[182]  arXiv:2012.09767 [pdf, ps, other]

Title: On microlocalisation and the construction of Feynman Propagators for normally hyperbolic operators

Authors: Onirban Islam, Alexander Strohmaier

Comments: 48 pages; typos and inaccuracies have been corrected and some details in two instances have been provided. To be published in the Communications in Analysis and Geometry

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Differential Geometry (math.DG)

[183]  arXiv:2012.09776 [pdf, ps, other]

Title: Mild criticality breaking for the Navier-Stokes equations

Authors: Tobias Barker, Christophe Prange

Comments: 13 pages. The current version contains an additional theorem regarding the behavior of slightly supercritical Orlicz norms near a potential blow-up time

Subjects: Analysis of PDEs (math.AP)

[184]  arXiv:2012.09909 [pdf, ps, other]

Title: On Some Recent Progress in the Vlasov-Poisson-Boltzmann System with Diffuse Reflection Boundary

Authors: Yunbai Cao, Chanwoo Kim

Comments: proceeding paper, to appear

Subjects: Analysis of PDEs (math.AP)

[185]  arXiv:2012.09933 [pdf, ps, other]

Title: Growth Bound and Nonlinear Smoothing for the Periodic Derivative Nonlinear Schrödinger Equation

Authors: Bradley Isom, Dionyssios Mantzavinos, Atanas Stefanov

Subjects: Analysis of PDEs (math.AP)

[186]  arXiv:2012.09949 [pdf, ps, other]

Title: Nonlocal elliptic problems associated with actions of discrete groups on manifolds with boundary

Authors: Boltachev A.V., Savin A.Yu

Comments: 22 pages, no figures

Subjects: Analysis of PDEs (math.AP); K-Theory and Homology (math.KT); Operator Algebras (math.OA)

[187]  arXiv:2012.09997 [pdf, ps, other]

Title: Approximations of the connection Laplacian spectra

Authors: Dmitri Burago, Sergei Ivanov, Yaroslav Kurylev, Jinpeng Lu

Comments: journal version, revised Lemma 4.1, added references

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG); Spectral Theory (math.SP)

[188]  arXiv:2012.10022 [pdf, ps, other]

Title: The length-constrained ideal curve flow

Authors: James McCoy, Glen Wheeler, Yuhan Wu

Comments: 11 pages

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[189]  arXiv:2012.10039 [pdf, ps, other]

Title: Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle

Authors: Feimin Huang, Jie Kuang, Dehua Wang, Wei Xiang

Subjects: Analysis of PDEs (math.AP)

[190]  arXiv:2012.10068 [pdf, other]

Title: Analysis of steady state solutions to an age structured SEQIR model with optimal vaccination

Authors: Manoj Kumar, Syed Abbas

Comments: 17 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[191]  arXiv:2012.10132 [pdf, other]

Title: Energy minimisers with prescribed Jacobian

Authors: André Guerra, Lukas Koch, Sauli Lindberg

Comments: 24 pages, 4 figures

Subjects: Analysis of PDEs (math.AP)

[192]  arXiv:2012.10164 [pdf, ps, other]

Title: A geometric capacitary inequality for sub-static manifolds with harmonic potentials

Authors: Virginia Agostiniani, Lorenzo Mazzieri, Francesca Oronzio

Comments: Any comment is welcome!

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[193]  arXiv:2012.10175 [pdf, ps, other]

Title: On weak-strong uniqueness for stochastic equations of incompressible fluid flow

Authors: Abhishek Chaudhary, Ujjwal Koley

Comments: 36 Pages

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Probability (math.PR)

[194]  arXiv:2012.10257 [pdf, ps, other]

Title: Invariance and Strict Invariance for Nonlinear Evolution Problems with Applications

Authors: Aleksander Ćwiszewski, Grzegorz Gabor, Wojciech Kryszewski

Subjects: Analysis of PDEs (math.AP)

[195]  arXiv:2012.10274 [pdf, ps, other]

Title: Time-dependent high-contrast subwavelength resonators

Authors: Habib Ammari, Erik Orvehed Hiltunen

Comments: 20 pages, 9 figures. Improved writing and typos corrected compared to v1

Subjects: Analysis of PDEs (math.AP); Materials Science (cond-mat.mtrl-sci); Optics (physics.optics)

[196]  arXiv:2012.10317 [pdf, ps, other]

Title: Regularity estimates for fully nonlinear elliptic PDEs with general Hamiltonian terms and unbounded ingredients

Authors: João Vitor da Silva, Gabrielle Nornberg

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[197]  arXiv:2012.10344 [pdf, other]

Title: Existence and uniqueness for a viscoelastic Kelvin-Voigt model with nonconvex stored energy

Authors: Konstantinos Koumatos, Corrado Lattanzio, Stefano Spirito, Athanasios E. Tzavaras

Comments: 30 pages

Subjects: Analysis of PDEs (math.AP)

[198]  arXiv:2012.10521 [pdf, other]

Title: A PDE model for chemotaxis with logarithmic sensitivity and logistic growth

Authors: Padi Fuster Aguilera, Vincent R. Martinez, Kyle Kun Zhao

Comments: 23 pages, 6 figures, 1 table

Subjects: Analysis of PDEs (math.AP)

[199]  arXiv:2012.10543 [pdf, ps, other]

Title: Scattering from Infinity of the Maxwell Klein Gordon Equations in Lorenz Gauge

Authors: Lili He

Comments: Added references. Typos corrected. To appear in Comm. Math. Phys

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[200]  arXiv:2012.10558 [pdf, ps, other]

Title: Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols

Authors: Hung Le

Comments: 22 pages. arXiv admin note: text overlap with arXiv:1810.00248 by other authors

Subjects: Analysis of PDEs (math.AP)

[201]  arXiv:2012.10561 [pdf, ps, other]

Title: Weighted and maximally hypoelliptic estimates for the Fokker-Planck Operator with electromagnetic fields

Authors: Wei-Xi Li, Juan Zeng

Subjects: Analysis of PDEs (math.AP)

[202]  arXiv:2012.10572 [pdf, ps, other]

Title: Oblique Injection of incompressible ideal fluid from a slot into a free stream

Authors: Jianfeng Cheng, Lili Du

Comments: Accepted for publication in SIAM J. Math. Anal., 43 Pages, 13 Figures

Subjects: Analysis of PDEs (math.AP)

[203]  arXiv:2012.10577 [pdf, ps, other]

Title: Metric entropy for Hamilton-Jacobi equation with uniformly directionally convex Hamiltonian

Authors: Stefano Bianchini, Prerona Dutta, Khai T. Nguyen

Comments: 30 pages

Subjects: Analysis of PDEs (math.AP)

[204]  arXiv:2012.10666 [pdf, ps, other]

Title: Sharp conditions for the linearization of finite elasticity

Authors: Edoardo Mainini, Danilo Percivale

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Optimization and Control (math.OC)

[205]  arXiv:2012.10701 [pdf, other]

Title: Entropic-Wasserstein barycenters: PDE characterization, regularity and CLT

Authors: Guillaume Carlier, Katharina Eichinger, Alexey Kroshnin

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[206]  arXiv:2012.10719 [pdf, other]

Title: On non-locality in the Calculus of Variations

Authors: Pablo Pedregal

Comments: 21 pages, 5 figures

Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[207]  arXiv:2012.10734 [pdf, other]

Title: Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid

Authors: Christina Lienstromberg, Tania Pernas-Castaño, Juan J. L. Velázquez

Comments: 38 pages, 3 figures

Subjects: Analysis of PDEs (math.AP)

[208]  arXiv:2012.10781 [pdf, ps, other]

Title: Phenomenologies of intermittent Hall MHD turbulence

Authors: Mimi Dai

Comments: 27 pages, 6 figures

Subjects: Analysis of PDEs (math.AP)

[209]  arXiv:2012.10789 [pdf, ps, other]

Title: Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system

Authors: J. A. Carrillo, K. Lin

Subjects: Analysis of PDEs (math.AP)

[210]  arXiv:2012.10819 [pdf, other]

Title: On the solution of the coupled steady-state dual-porosity-Navier-Stokes fluid flow model with the Beavers-Joseph-Saffman interface condition

Authors: Di Yang, Yinnian He, Luling Cao

Comments: 16 pages, 1 figure

Journal-ref: Journal of Mathematical Analysis and Applications 505 (2022) 125577

Subjects: Analysis of PDEs (math.AP)

[211]  arXiv:2012.10845 [pdf, ps, other]

Title: Regularity of the Vlasov-Poisson-Boltzmann System without angular cutoff

Authors: Dingqun Deng

Subjects: Analysis of PDEs (math.AP)

[212]  arXiv:2012.10888 [pdf, ps, other]

Title: Gaussian Estimates for Heat Kernels of Higher Order Schrödinger Operators with Potentials in Generalized Schechter Classes

Authors: Jun Cao, Yu Liu, Dachun Yang, Chao Zhang

Comments: 52 pages, Submitted

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)

[213]  arXiv:2012.10918 [pdf, ps, other]

Title: Traveling vortex pairs for 2D incompressible Euler equations

Authors: Daomin Cao, Shanfa Lai, Weicheng Zhan

Subjects: Analysis of PDEs (math.AP)

[214]  arXiv:2012.10922 [pdf, other]

Title: Impacts of noise on quenching of some models arising in MEMS technology

Authors: Ourania Drosinou, Nikos I. Kavallaris, Christos V. Nikolopoulos

Comments: 29 pages, 8 figures, Submitted to a journal

Subjects: Analysis of PDEs (math.AP)

[215]  arXiv:2012.10960 [pdf, ps, other]

Title: Interior continuity, continuity up to the boundary and Harnack's inequality for double-phase elliptic equations with non-logarithmic conditions

Authors: Oleksandr V. Hadzhy, Igor I. Skrypnik, Mykhailo V. Voitovych

Comments: 26 pages

Subjects: Analysis of PDEs (math.AP)

[216]  arXiv:2012.10977 [pdf, ps, other]

Title: Ground state energy threshold and blow-up for NLS with competing nonlinearities

Authors: Jacopo Bellazzini, Luigi Forcella, Vladimir Georgiev

Comments: 30 pages, 2 figures. Submitted paper

Subjects: Analysis of PDEs (math.AP)

[217]  arXiv:2012.11023 [pdf, ps, other]

Title: Liouville type theorems for stable solutions of elliptic system involving the Grushin operator

Authors: Foued Mtiri

Subjects: Analysis of PDEs (math.AP)

[218]  arXiv:2012.11141 [pdf, other]

Title: Sine-Gordon on a wormhole

Authors: Piotr Bizoń, Maciej Dunajski, Michał Kahl, Michał Kowalczyk

Comments: 19 pages, 10 figures, final version

Subjects: Analysis of PDEs (math.AP); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[219]  arXiv:2012.11273 [pdf, ps, other]

Title: Dynamics of a predator-prey system in open advective heterogeneous environments

Authors: Qi Wang

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP)

[220]  arXiv:2012.11367 [pdf, ps, other]

Title: Smooth solutions to the Gauss image problem

Authors: Li Chen, Di Wu, Ni Xiang

Comments: 20pages

Subjects: Analysis of PDEs (math.AP)

[221]  arXiv:2012.11386 [pdf, ps, other]

Title: The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations

Authors: Tomás Caraballo, Alexandre N. de Carvalho, José A. Langa, Alexandre N. Oliveira-Sousa

Comments: 33 pages

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[222]  arXiv:2012.11410 [pdf, ps, other]

Title: The Dirichlet problem for Kolmogorov-Fokker-Planck type equations with rough coefficients

Authors: M. Litsgård, K. Nyström

Comments: We have updated the formulations of Theorem 1.3 and 1.4 to clearly state that we prove uniqueness of bounded weak solutions. This is clear from the proofs

Subjects: Analysis of PDEs (math.AP)

[223]  arXiv:2012.11419 [pdf, ps, other]

Title: The Parametric Approach to the Willmore Flow

Authors: Francesco Palmurella, Tristan Rivière

Comments: Revised version to appear in Adv. Math

Journal-ref: Adv. Math. 400 (2022) 108257

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[224]  arXiv:2012.11637 [pdf, other]

Title: On soliton (in-)stability in multi-dimensional cubic-quintic nonlinear Schrödinger equations

Authors: R. Carles, C. Klein, C. Sparber

Comments: References updated

Subjects: Analysis of PDEs (math.AP)

[225]  arXiv:2012.11728 [pdf, ps, other]

Title: Non simple blow ups for the Nirenberg problem on half spheres

Authors: Mohameden Ahmedou, Mohamed Ben Ayed

Comments: 32 pages

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[226]  arXiv:2012.11785 [pdf, ps, other]

Title: Classification and a priori estimates for the singular prescribing $Q$-curvature equation on 4-manifold

Authors: Mohameden Ahmedou, Lina Wu, Lei Zhang

Comments: 41 pages

Subjects: Analysis of PDEs (math.AP)

[227]  arXiv:2012.11789 [pdf, other]

Title: Spatial and temporal dynamics of an almost periodic reaction-diffusion system for West Nile virus

Authors: Chengcheng Cheng, Zuohuan Zheng

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[228]  arXiv:2012.11875 [pdf, ps, other]

Title: Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field

Authors: Dongfen Bian, Shouyi Dai, Jingjing Mao

Subjects: Analysis of PDEs (math.AP)

[229]  arXiv:2012.11928 [pdf, ps, other]

Title: Soliton resolution for a coupled generalized nonlinear Schrödinger equations with weighted Sobolev initial data

Authors: Zhi-Qiang Li, Shou-Fu Tian, Jin-Jie Yang

Comments: 37 pages

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[230]  arXiv:2012.11948 [pdf, ps, other]

Title: On a Type I singularity condition in terms of the pressure for the Euler equations in $\mathbb R^3$

Authors: Dongho Chae, Peter Constantin

Comments: 10 pages

Subjects: Analysis of PDEs (math.AP)

[231]  arXiv:2012.11966 [pdf, ps, other]

Title: Global well-posedness and decay for viscous water wave models

Authors: Rafael Granero-Belinchón, Stefano Scrobogna

Subjects: Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)

[232]  arXiv:2012.11979 [pdf, ps, other]

Title: The one-dimensional nonlocal Dominative $p$-Laplace equation

Authors: Karl K. Brustad

Comments: 22 pages, 8 figures

Subjects: Analysis of PDEs (math.AP)

[233]  arXiv:2012.11994 [pdf, other]

Title: First-Kind Boundary Integral Equations for the Dirac Operator in 3D Lipschitz Domains

Authors: Erick Schulz, Ralf Hiptmair

Comments: 27 pages, 2 figures

Journal-ref: SIAM Journal on Mathematical Analysis 54.1 (2022): 616-648

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[234]  arXiv:2012.12006 [pdf, ps, other]

Title: Estimate on the dimension of the singular set of the supercritical surface quasigeostrophic equation

Authors: Maria Colombo, Silja Haffter

Subjects: Analysis of PDEs (math.AP)

[235]  arXiv:2012.12023 [pdf, other]

Title: On the time fractional heat equation with obstacle

Authors: Carlo Alberini, Raffaela Capitanelli, Mirko D'Ovidio, Stefano Finzi Vita

Subjects: Analysis of PDEs (math.AP)

[236]  arXiv:2012.12026 [pdf, other]

Title: Effects of impulsive harvesting and an evolving domain in a diffusive logistic model

Authors: Yue Meng, Zhigui Lin, Michael Pedersen

Comments: 26 pages, 8 figures

Subjects: Analysis of PDEs (math.AP)

[237]  arXiv:2012.12072 [pdf, ps, other]

Title: Estimates for commutators of fractional differential operators via harmonic extension

Authors: Jonas Ingmanns

Comments: 97 pages

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[238]  arXiv:2012.12164 [pdf, other]

Title: A numerical study of an Heaviside function driven degenerate diffusion equation

Authors: Carlo Alberini, Raffaela Capitanelli, Stefano Finzi Vita

Journal-ref: Computers & Mathematics with Applications 2021

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[239]  arXiv:2012.12185 [pdf, ps, other]

Title: A Shell Bonded to an Elastic Foundation and the Existence of Optimal Elastic and Geometric Conditions for the Membrane Case

Authors: Kavinda Jayawardana

Comments: this https URL

Subjects: Analysis of PDEs (math.AP)

[240]  arXiv:2012.12251 [pdf, ps, other]

Title: Well-posedness and exponential stability of a thermoelastic system with internal delay

Authors: Smain Monlay Khatir, Farhat Shel

Subjects: Analysis of PDEs (math.AP)

[241]  arXiv:2012.12317 [src]

Title: On Holder Continuity and Equivalent Formulation of Intrinsic Harnack Estimates for an Anisotropic Parabolic Degenerate Prototype Equation

Authors: Simone Ciani, Vincenzo Vespri

Comments: H\"older continuity of solutions to the anisotropic p-laplacian equation is valid in the range 2<p_i<p(1+1/N), as an indirect consequence of finite speed of propagation. For this we redirect the reader to arXiv:2211.03357, or this https URL Finally, we are not aware of a proof of H\"older continuity for the whole range of boundedness 2<p_i<p(1+2/N)

Subjects: Analysis of PDEs (math.AP)

[242]  arXiv:2012.12323 [pdf, other]

Title: Summability of formal solutions for a family of generalized moment integro-differential equations

Authors: Alberto Lastra, Sławomir Michalik, Maria Suwińska

Comments: 21 pages, 1 figure

Journal-ref: Fract. Calc. Appl. Anal. 24 (2021), 1445-1476

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV)

[243]  arXiv:2012.12327 [pdf, ps, other]

Title: An Introduction to Barenblatt Solutions for Anisotropic $p$-Laplace Equations

Authors: Simone Ciani, Vincenzo Vespri

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[244]  arXiv:2012.12357 [pdf, ps, other]

Title: Persistence properties of a Camassa-Holm type equation with $(n+1)-$order non-linearities

Authors: Igor Leite Freire

Comments: This version corresponds to an earlier version of the published paper (please, see the information about publication)

Journal-ref: Journal of Mathematical Physics, vol. 63, paper 011505, (2022)

Subjects: Analysis of PDEs (math.AP)

[245]  arXiv:2012.12391 [pdf, ps, other]

Title: Well posedness of the nonlinear Schrödinger equation with isolated singularities

Authors: Claudio Cacciapuoti, Domenico Finco, Diego Noja

Comments: Minor corrections; typos fixed; references added

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[246]  arXiv:2012.12505 [pdf, other]

Title: Regularity of the Scattering Matrix for Nonlinear Helmholtz Eigenfunctions

Authors: Jesse Gell-Redman, Andrew Hassell, Jacob Shapiro

Comments: 24 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[247]  arXiv:2012.12525 [pdf, ps, other]

Title: The existence and uniqueness of global admissible conservative weak solution for the periodic single-cycle pulse equation

Authors: Yingying Guo, Zhaoyang Yin

Subjects: Analysis of PDEs (math.AP)

[248]  arXiv:2012.12559 [pdf, ps, other]

Title: Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches

Authors: Roberto Alicandro, Andrea Braides, Marco Cicalese, Lucia De Luca, Andrey Piatnitski

Subjects: Analysis of PDEs (math.AP)

[249]  arXiv:2012.12567 [pdf, other]

Title: Homogenization of the Landau-Lifshitz equation

Authors: Lena Leitenmaier, Olof Runborg

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[250]  arXiv:2012.12574 [pdf, other]

Title: Long time confinement of vorticity around a stable stationary point vortex in a bounded planar domain

Authors: Martin Donati, Dragos Iftimie

Comments: Will appear in Annales de l'Institut Henri Poincar\'e C, Analyse Non Lin\'eaire

Subjects: Analysis of PDEs (math.AP)

[251]  arXiv:2012.12580 [pdf, ps, other]

Title: On the sharp interface limit of a phase field model for near-spherical two phase biomembranes

Authors: Charles M. Elliott, Luke Hatcher, Björn Stinner

Subjects: Analysis of PDEs (math.AP)

[252]  arXiv:2012.12625 [pdf, other]

Title: Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature

Authors: A. Fernández-Romero, F. Guillén-González, A. Suárez

Comments: 28 pages, 5 figures

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[253]  arXiv:2012.12706 [pdf, ps, other]

Title: Singular solutions of the Yamabe problem in the Heisenberg group and their bifurcation

Authors: Claudio Afeltra

Subjects: Analysis of PDEs (math.AP)

[254]  arXiv:2012.12714 [pdf, ps, other]

Title: Stability of singular solutions to the Navier-Stokes system

Authors: Marco Cannone, Grzegorz Karch, Dominika Pilarczyk, Gang Wu

Subjects: Analysis of PDEs (math.AP)

[255]  arXiv:2012.12731 [pdf, ps, other]

Title: Existence and multiplicity of solutions for the fractional $p$-Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical growth

Authors: Eduardo de Souza Böer, Olímpio Hiroshi Miyagaki

Comments: 28 pages. arXiv admin note: text overlap with arXiv:2011.12806

Journal-ref: J. Math. Phys. 62, 051507 (2021)

Subjects: Analysis of PDEs (math.AP)

[256]  arXiv:2012.12840 [pdf, ps, other]

Title: Existence of Kazdan-Warner equation with sign-changing prescribed function

Authors: Linlin Sun, Jingyong Zhu

Subjects: Analysis of PDEs (math.AP)

[257]  arXiv:2012.12860 [pdf, ps, other]

Title: On weighted $L^p$-Hardy inequality on domains in $\mathbb{R}^n$

Authors: Divya Goel, Yehuda Pinchover, Georgios Psaradakis

Subjects: Analysis of PDEs (math.AP)

[258]  arXiv:2012.12966 [pdf, ps, other]

Title: Asymptotic approximation of a modified compressible Navier-Stokes system

Authors: Ryan Goh, C. Eugene Wayne, Roland Welter

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[259]  arXiv:2012.12973 [pdf, ps, other]

Title: The Nirenberg problem on high dimensional half spheres: The effect of pinching conditions

Authors: Mohameden Ahmedou, Mohamed Ben Ayed

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[260]  arXiv:2012.12974 [pdf, ps, other]

Title: Li-Yau inequalities for general non-local diffusion equations via reduction to the heat kernel

Authors: Frederic Weber, Rico Zacher

Comments: 14 pages. The new version contains a significant extension: We have added a whole section about Harnack inequalities which contains the proof of a scale-invariant Harnack inequality for the fractional heat equation. Besides that we also included some further remarks and references

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[261]  arXiv:2012.12998 [pdf, ps, other]

Title: About the use of entropy production for the Landau-Fermi-Dirac equation

Authors: Ricardo J. Alonso, Véronique Bagland, Laurent Desvillettes, Bertrand Lods

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[262]  arXiv:2012.13034 [pdf, ps, other]

Title: The Van Vleck Formula on Ehrenfest time scales and stationary phase asymptotics for frequency-dependent phases

Authors: Matthew D. Blair

Comments: 21 pages

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA); Spectral Theory (math.SP)

[263]  arXiv:2012.13116 [pdf, ps, other]

Title: Asymptotic profile of a two-dimensional chemotaxis--Navier--Stokes system with singular sensitivity and logistic source

Authors: Peter Y. H. Pang, Yifu Wang, Jingxue Yin

Subjects: Analysis of PDEs (math.AP)

[264]  arXiv:2012.13150 [pdf, ps, other]

Title: Existence and uniqueness of local weak solution of d-dimensional tropical climate model without thermal diffusion in inhomogeneous Besov space

Authors: Baoquan Yuan, Ying Zhang

Comments: 25 pages, accepted by SCIENTIA SINICA Mathematica (in Chinese)

Subjects: Analysis of PDEs (math.AP)

[265]  arXiv:2012.13175 [pdf, ps, other]

Title: The continuous dependence for the Navier-Stokes equations in $\dot{B}^{\frac{d}{p}-1}_{p,r}$

Authors: Weikui Ye, Zhaoyang Yin, Wei Luo

Comments: arXiv admin note: text overlap with arXiv:2012.03489

Subjects: Analysis of PDEs (math.AP)

[266]  arXiv:2012.13203 [pdf, other]

Title: A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels

Authors: Giuseppe Maria Coclite, Jean-Michel Coron, Nicola De Nitti, Alexander Keimer, Lukas Pflug

Comments: 13 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[267]  arXiv:2012.13297 [pdf, ps, other]

Title: Randomized final-state problem for the Zakharov system in dimension three

Authors: Martin Spitz

Comments: 28 pages v2: typos corrected, uniqueness statement in Corollary 1.3 improved

Subjects: Analysis of PDEs (math.AP)

[268]  arXiv:2012.13335 [pdf, other]

Title: On Blow-up solutions to the nonlinear Schrödinger equation in the exterior of a convex obstacle

Authors: Oussama Landoulsi

Subjects: Analysis of PDEs (math.AP)

[269]  arXiv:2012.13509 [pdf, other]

Title: Asymptotic expansion at infinity of solutions of special Lagrangian equations

Authors: Zixiao Liu, Jiguang Bao

Comments: 29 pages, 6 figures

Subjects: Analysis of PDEs (math.AP)

[270]  arXiv:2012.13531 [pdf, ps, other]

Title: Qualitative properties of Hénon type equations with exponential nonlinearity

Authors: Zongming Guo, Xia Huang, Dong Ye, Feng Zhou

Journal-ref: Nonlinearity 35 (2022) 492-512

Subjects: Analysis of PDEs (math.AP)

[271]  arXiv:2012.13544 [pdf, ps, other]

Title: Bound sets for a class of $φ$-Laplacian operators

Authors: Guglielmo Feltrin, Fabio Zanolin

Comments: 27 pages

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[272]  arXiv:2012.13571 [pdf, ps, other]

Title: Almost sure scattering for the one dimensional nonlinear Schrödinger equation

Authors: Nicolas Burq, Laurent Thomann

Subjects: Analysis of PDEs (math.AP)

[273]  arXiv:2012.13596 [pdf, ps, other]

Title: Supersonic flow of Chaplygin gas past a delta wing

Authors: Bingsong Long, Chao Yi

Comments: 32 pages, 10 figures

Subjects: Analysis of PDEs (math.AP)

[274]  arXiv:2012.13646 [pdf, ps, other]

Title: Which magnetic fields support a zero mode?

Authors: Rupert L. Frank, Michael Loss

Comments: LaTeX 32 pages, added some more references to this version

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[275]  arXiv:2012.13743 [src]

Title: Some Existence Results for a Singular Elliptic Problem via Bifurcation Theory

Authors: Claudio Saccon

Comments: There is a significant problem in the proof of Theorem 2.1: the "classical bifurcation result for potential operators" quoted at the end of the proof of 2.1 seems not to be so well known and the cited paper [8] only covers a very partial case . So a major revision was needed and the author has came to the conclusion that the revised version should be a new paper, with a different title

Subjects: Analysis of PDEs (math.AP)

[276]  arXiv:2012.13772 [pdf, other]

Title: Nucleation and growth of lattice crystals

Authors: Andrea Braides, Giovanni Scilla, Antonio Tribuzio

Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[277]  arXiv:2012.13818 [pdf, ps, other]

Title: Stefan problems for the diffusion-convection equation with temperature-dependent thermal coefficients

Authors: Julieta Bollati, Adriana C. Briozzo

Comments: 21 pages, 0 figures

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[278]  arXiv:2012.13839 [pdf, ps, other]

Title: On volume-preserving crystalline mean curvature flow

Authors: Inwon Kim, Dohyun Kwon, Norbert Požár

Subjects: Analysis of PDEs (math.AP)

[279]  arXiv:2012.13843 [pdf, ps, other]

Title: Generic nondegeneracy for solutions of the Allen-Cahn equation under a volume constraint in closed manifolds

Authors: Gustavo de Paula Ramos

Comments: 8 pages. Minor changes along the text. Correction of Fredholm index in Lemma 4.1

Journal-ref: Nonlinear Differ. Equ. Appl. 28, 64 (2021)

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[280]  arXiv:2012.13864 [pdf, other]

Title: Stability of large-amplitude viscous shock under periodic perturbation for 1-d isentropic Navier-Stokes equations

Authors: Feimin Huang, Qian Yuan

Subjects: Analysis of PDEs (math.AP)

[281]  arXiv:2012.13879 [pdf, other]

Title: Blowup dynamics for smooth equivariant solutions to energy critical Landau-Lifschitz flow

Authors: Jitao Xu, Lifeng Zhao

Comments: 84 pages

Subjects: Analysis of PDEs (math.AP)

[282]  arXiv:2012.13887 [pdf, ps, other]

Title: Minimal mass blow-up solutions for nonlinear Schrödinger equations with an inverse potential

Authors: Naoki Matsui

Comments: arXiv admin note: text overlap with arXiv:2007.15968

Subjects: Analysis of PDEs (math.AP)

[283]  arXiv:2012.13888 [pdf, other]

Title: Asymptotic stability of planar rarefaction waves for 3-d isentropic Navier-Stokes equations under periodic perturbations

Authors: Feimin Huang, Lingda Xu, Qian Yuan

Subjects: Analysis of PDEs (math.AP)

[284]  arXiv:2012.13902 [pdf, ps, other]

Title: A regularity result for the bound states of $N$-body Schrödinger operators: Blow-ups and Lie manifolds

Authors: Bernd Ammann, Jérémy Mougel, Victor Nistor

Comments: Small changes, last preprint version before sending to publisher. Appendices D and E only in preprint version, not published

Journal-ref: Letters in Mathematical Physics (2023) 113:26

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Differential Geometry (math.DG); Spectral Theory (math.SP)

[285]  arXiv:2012.13931 [pdf, ps, other]

Title: Local Well-posedness of the Free-Boundary Problem in Compressible Resistive Magnetohydrodynamics

Authors: Junyan Zhang

Comments: 51 pages. Typos corrected. Final version, accepted by CVPDE

Journal-ref: Calc. Var. Partial Differ. Equ., 62 (2023), no. 4, 124

Subjects: Analysis of PDEs (math.AP)

[286]  arXiv:2012.13933 [pdf, ps, other]

Title: Anisotropic $p$-capacity and anisotropic Minkowski inequality

Authors: Chao Xia, Jiabin Yin

Comments: it has been accepted for publication in SCIENCE CHINA Mathematics

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[287]  arXiv:2012.13934 [pdf, other]

Title: Periodic perturbations of a composite wave of two viscous shocks for 1-D full compressible Navier-Stokes equations

Authors: Qian Yuan, Yuan Yuan

Subjects: Analysis of PDEs (math.AP)

[288]  arXiv:2012.13950 [pdf, other]

Title: The Monotonicity Principle for Magnetic Induction Tomography

Authors: Antonello Tamburrino, Gianpaolo Piscitelli, Zhengfang Zhou

Comments: 25 pages, 4 figures

Journal-ref: Inverse Problems 37.095003 (2021), 20pp

Subjects: Analysis of PDEs (math.AP)

[289]  arXiv:2012.13964 [pdf, ps, other]

Title: Integration by parts for nonsymmetric fractional-order operators on a halfspace

Authors: Gerd Grubb

Comments: The results in this paper are valid for operators satisfying the mu-transmission condition. It was overlooked that the main example L does not satisfy that condition in all cases, but only a principal mu-transmission condition. The missing cases are now treated in the subsequent paper arXiv:2104.05581

Journal-ref: J. Math. Anal. Applications vol 499 (2021) 125012

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[290]  arXiv:2012.14056 [pdf, ps, other]

Title: Gradient estimates of solutions to the insulated conductivity problem in dimension greater than two

Authors: YanYan Li, Zhuolun Yang

Subjects: Analysis of PDEs (math.AP)

[291]  arXiv:2012.14135 [pdf, ps, other]

Title: Stability and asymptotic analysis for instationary gas transport via relative energy estimates

Authors: Herbert Egger, Jan Giesselmann

Subjects: Analysis of PDEs (math.AP)

[292]  arXiv:2012.14203 [pdf, ps, other]

Title: The relaxation limit of bipolar fluid models

Authors: Nuno J. Alves, Athanasios E. Tzavaras

Journal-ref: Discrete and Continuous Dynamical Systems, 42(1), 211-237 (2022)

Subjects: Analysis of PDEs (math.AP)

[293]  arXiv:2012.14211 [pdf, ps, other]

Title: Asymptotic stability of Landau solutions to Navier-Stokes system under $L^p$-perturbations

Authors: Yanyan Li, Jingjing Zhang, Ting Zhang

Subjects: Analysis of PDEs (math.AP)

[294]  arXiv:2012.14213 [pdf, ps, other]

Title: The relativistic quantum Boltzmann equation near equilibrium

Authors: Gi-Chan Bae, Jin Woo Jang, Seok-Bae Yun

Subjects: Analysis of PDEs (math.AP)

[295]  arXiv:2012.14239 [pdf, ps, other]

Title: Improved well-posedness results for the Maxwell-Klein-Gordon system in 2D

Authors: Hartmut Pecher

Comments: 24 pages. arXiv admin note: text overlap with arXiv:2010.06170

Subjects: Analysis of PDEs (math.AP)

[296]  arXiv:2012.14273 [pdf, ps, other]

Title: Inverse boundary problems for biharmonic operators in transversally anisotropic geometries

Authors: Lili Yan

Comments: arXiv admin note: substantial text overlap with arXiv:1702.07974 by other authors

Subjects: Analysis of PDEs (math.AP)

[297]  arXiv:2012.14327 [pdf, ps, other]

Title: Insensitizing controls for the heat equation with respect to boundary variations

Authors: Sylvain Ervedoza (IMB), Pierre Lissy (CEREMADE), Yannick Privat (TONUS, IRMA, IUF)

Journal-ref: Journal de l'{\'E}cole polytechnique - Math{\'e}matiques, {\'E}cole polytechnique, 2022, Tome 9, pp.1397--1429

Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[298]  arXiv:2012.14351 [pdf, ps, other]

Title: Global existences and asymptotic behavior for semilinear heat equation

Authors: Avy Soffer, Yifei Wu, Xiaohua Yao

Comments: Revised and expanded version of arXiv:1903.08316. It also includes new section on large time asymptotics

Subjects: Analysis of PDEs (math.AP)

[299]  arXiv:2012.14355 [pdf, ps, other]

Title: Global well-posedness for the cubic nonlinear Schr{ö}dinger equation with initial lying in $L^{p}$-based Sobolev spaces

Authors: Benjamin Dodson, Avraham Soffer, Thomas Spencer

Comments: 12 pages

Subjects: Analysis of PDEs (math.AP)

[300]  arXiv:2012.14356 [pdf, ps, other]

Title: L^p Boundedness of the Scattering Wave Operators of Schroedinger Dynamics with Time-dependent Potentials and applications

Authors: Avy Soffer, Xiaoxu Wu

Comments: 73 pages

Subjects: Analysis of PDEs (math.AP)

[301]  arXiv:2012.14362 [pdf, ps, other]

Title: Remark On The Notion Of Adapted Conformal And Other Estimates

Authors: Avy Soffer

Comments: 13 pages

Subjects: Analysis of PDEs (math.AP)

[302]  arXiv:2012.14382 [pdf, ps, other]

Title: A General Scattering theory for Nonlinear and Non-autonomous Schroedinger Type Equations- A Brief description

Authors: Baoping Liu, Avy Soffer

Comments: 14 pages; announcement

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[303]  arXiv:2012.14448 [pdf, ps, other]

Title: On pointwise decay of waves

Authors: Wilhelm Schlag

Comments: This article is dedicated to the memory of Jean Bourgain. 5 figures are included. Revised version, to appear in Journal Math. Phys

Subjects: Analysis of PDEs (math.AP)

[304]  arXiv:2012.14505 [pdf, ps, other]

Title: The Bourgain-Brézis-Mironescu formula in arbitrary bounded domains

Authors: Irene Drelichman, Ricardo G. Durán

Comments: 8 pages, simpler proof, new references

Subjects: Analysis of PDEs (math.AP)

[305]  arXiv:2012.14532 [pdf, other]

Title: Average-distance problem with curvature penalization for data parameterization: regularity of minimizers

Authors: Xinyang Lu, Dejan Slepcev

Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[306]  arXiv:2012.14562 [pdf, ps, other]

Title: Remarks on minimal mass blow up solutions for a double power nonlinear Schrödinger equation

Authors: Naoki Matsui

Comments: arXiv admin note: substantial text overlap with arXiv:2012.13887; text overlap with arXiv:2007.15968

Subjects: Analysis of PDEs (math.AP)

[307]  arXiv:2012.14612 [pdf, ps, other]

Title: Global-in-time dynamics of the two--phase fluid model in a bounded domain

Authors: Jinwook Jung

Subjects: Analysis of PDEs (math.AP)

[308]  arXiv:2012.14621 [pdf, ps, other]

Title: Quasi-streamwise vortices and enhanced dissipation for the incompressible 3D Navier-Stokes equations

Authors: In-Jee Jeong, Tsuyoshi Yoneda

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[309]  arXiv:2012.14658 [pdf, ps, other]

Title: Existence and non-existence for the collision-induced breakage equation

Authors: Ankik Kumar Giri, Philippe Laurençot (IMT)

Journal-ref: SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2021, 53 (4), pp.4605--4636

Subjects: Analysis of PDEs (math.AP)

[310]  arXiv:2012.14680 [pdf, ps, other]

Title: Bifurcating standing waves for effective equations in gapped honeycomb structures

Authors: William Borrelli, Raffaele Carlone

Comments: Submitted to the proceedings of the conference "Mathematical Challenge of Quantum Transport in Nanosystems. Pierre Duclos Workshop" - Saint Petersburg, September 14-16, 2020

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[311]  arXiv:2012.14694 [pdf, other]

Title: Variational balance models for the three-dimensional Euler-Boussinesq equations with full Coriolis force

Authors: Gözde Özden, Marcel Oliver

Subjects: Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)

[312]  arXiv:2012.14775 [pdf, ps, other]

Title: Heat kernel of supercritical SDEs with unbounded drifts

Authors: Stéphane Menozzi (LaMME, HSE), Zhang Xicheng

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[313]  arXiv:2012.14779 [pdf, other]

Title: Fractional elliptic equations in nondivergence form: definition, applications and Harnack inequality

Authors: P. R. Stinga, M. Vaughan

Comments: 55 pages. To appear in Journal de Math\'ematiques Pures et Appliqu\'ees

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[314]  arXiv:2012.14876 [pdf, other]

Title: Gamma-convergence results for nematic elastomer bilayers: relaxation and actuation

Authors: Pierluigi Cesana, Andres A Leon Baldelli

Comments: 38 pages, 2 figures

Subjects: Analysis of PDEs (math.AP); Soft Condensed Matter (cond-mat.soft)

[315]  arXiv:2012.15071 [pdf, ps, other]

Title: Nonlinear modulational instabililty of the Stokes waves in 2d full water waves

Authors: Gong Chen, Qingtang Su

Subjects: Analysis of PDEs (math.AP)

[316]  arXiv:2012.15147 [pdf, other]

Title: Human-vector malaria transmission model structured by age, time since infection and waning immunity

Authors: Quentin Richard (MIVEGEC), Marc Choisy, Thierry Lefèvre (MIVEGEC), Ramsès Djidjou-Demasse (MIVEGEC)

Subjects: Analysis of PDEs (math.AP)

[317]  arXiv:2012.15191 [pdf, ps, other]

Title: On modified scattering for 1D quadratic Klein-Gordon equations with non-generic potentials

Authors: Hans Lindblad, Jonas Luhrmann, Wilhelm Schlag, Avy Soffer

Comments: 61 pages. Minor Revisions. To appear in IMRN

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[318]  arXiv:2012.15225 [pdf, other]

Title: Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation

Authors: C. Klein, S. Roudenko, N. Stoilov

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[319]  arXiv:2012.15237 [pdf, other]

Title: Non-concentration and restriction bounds for Neumann eigenfunctions of piecewise $C^{\infty}$ bounded planar domains

Authors: Hans Christianson, John A. Toth

Comments: 64 pages

Subjects: Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[320]  arXiv:2012.15246 [pdf, ps, other]

Title: Well-posedness in weighted spaces for the generalized Hartree equation with $p<2$

Authors: Anudeep K. Arora, Oscar Riaño, Svetlana Roudenko

Comments: 29 pages, accepted version

Subjects: Analysis of PDEs (math.AP)

[321]  arXiv:2012.15248 [pdf, other]

Title: The Stefan problem in a thermomechanical context with fracture and fluid flow

Authors: Tomáš Roubíček

Subjects: Analysis of PDEs (math.AP)

[322]  arXiv:2012.15325 [pdf, other]

Title: Elastoplasticity of gradient-polyconvex materials

Authors: Martin Kružík, Jiří Zeman

Subjects: Analysis of PDEs (math.AP)

[323]  arXiv:2012.15400 [pdf, other]

Title: Nonlinear Einstein paradigm of Brownian motion and localization property of solutions

Authors: Ivan C. Christov, Isanka Garli Hevage, Akif Ibraguimov, Rahnuma Islam

Comments: 17 pages, 3 figures; to appear in Math. Meth. Appl. Sci

Journal-ref: Math. Meth. Appl. Sci. 46 (2023) 12895-12913

Subjects: Analysis of PDEs (math.AP); Classical Physics (physics.class-ph)

[324]  arXiv:2012.15429 [pdf, ps, other]

Title: On the Cauchy problem for the Hunter-Saxton equation on the line

Authors: Weikui Ye, Zhaoyang Yin

Subjects: Analysis of PDEs (math.AP)

[325]  arXiv:2012.15481 [pdf, ps, other]

Title: On the monotonicity property of the generalized eigenvalue for weakly-coupled cooperative elliptic systems

Authors: Ari Arapostathis, Anup Biswas, Somnath Pradhan

Comments: 29 pages

Subjects: Analysis of PDEs (math.AP); Probability (math.PR); Spectral Theory (math.SP)

[326]  arXiv:2012.15499 [pdf, ps, other]

Title: Lipschitz Regularity in Vectorial Linear Transmission Problems

Authors: Alessio Figalli, Sunghan Kim, Henrik Shahgholian

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[327]  arXiv:2012.15514 [pdf, ps, other]

Title: On the radius of spatial analyticity for the Klein-Gordon-Schrödinger system

Authors: Jaeseop Ahn, Jimyeong Kim, Ihyeok Seo

Comments: To appear in J. Differential Equations, 23 pages

Subjects: Analysis of PDEs (math.AP)

[328]  arXiv:2012.15527 [pdf, other]

Title: An Optimal Mass Transport Method for Random Genetic Drift

Authors: José A. Carrillo, Lin Chen, Qi Wang

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[329]  arXiv:2012.15602 [pdf, ps, other]

Title: Variational framework and Lewy-Stampacchia type estimates for nonlocal operators on Heisenberg group

Authors: Divya Goel, Vicentiu D. Radulescu, K. Sreenadh

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[330]  arXiv:2012.15610 [pdf, ps, other]

Title: Stochastic parabolic equations with singular potentials

Authors: Snežana Gordić, Tijana Levajković, Ljubica Oparnica

Comments: 29 pages

Subjects: Analysis of PDEs (math.AP)

[331]  arXiv:2012.15622 [pdf, ps, other]

Title: Hypocoercivity and reaction-diffusion limit for a nonlinear generation-recombination model

Authors: Gianluca Favre, Marlies Pirner, Christian Schmeiser

Subjects: Analysis of PDEs (math.AP)

[332]  arXiv:2012.15665 [pdf, ps, other]

Title: On the fractional NLS equation and the effects of the potential well's topology

Authors: Silvia Cingolani, Marco Gallo

Subjects: Analysis of PDEs (math.AP)

[333]  arXiv:2012.15720 [pdf, ps, other]

Title: A Liouville theorem for Möbius invariant equations

Authors: YanYan Li, Han Lu, Siyuan Lu

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[334]  arXiv:2012.15848 [pdf, ps, other]

Title: Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space

Authors: Zachary Bradshaw, Igor Kukavica, Wojciech S. Ożański

Comments: 32 pages, 1 figure

Journal-ref: Arch. Ration. Mech. Anal. 245, pp. 321-371, 2022

Subjects: Analysis of PDEs (math.AP)

[335]  arXiv:2012.00067 (cross-list from math.CA) [pdf, ps, other]

Title: Stein-Weiss inequality in $L^{1}$ norm for vector fields

Authors: Pablo De Nápoli, Tiago Picon

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP)

[336]  arXiv:2012.00075 (cross-list from math.DG) [pdf, ps, other]

Title: Prescribing the curvature to Killing Graphs

Authors: Yunelsy N Alvarez

Comments: 20 pages

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[337]  arXiv:2012.00247 (cross-list from math.SP) [pdf, ps, other]

Title: First-order asymptotic perturbation theory for extensions of symmetric operators

Authors: Yuri Latushkin, Selim Sukhtaiev

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[338]  arXiv:2012.00271 (cross-list from math.PR) [pdf, ps, other]

Title: Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift-Hohenberg equation with multiplicative noise

Authors: Jintao Wang, Chunqiu Li, Lu Yang, Mo Jia

Journal-ref: J. Math. Phys. 62, 111507 (2021)

Subjects: Probability (math.PR); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[339]  arXiv:2012.00278 (cross-list from math.NA) [pdf, other]

Title: Convergence analysis of a fully discrete energy-stable numerical scheme for the Q-tensor flow of liquid crystals

Authors: Varun M. Gudibanda, Franziska Weber, Yukun Yue

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[340]  arXiv:2012.00487 (cross-list from math.DG) [pdf, ps, other]

Title: Deformed Hermitian-Yang-Mills Equation on Compact Hermitian Manifolds

Authors: Chao-Ming Lin

Comments: 30 pages, 3 figures

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[341]  arXiv:2012.00565 (cross-list from math-ph) [pdf, ps, other]

Title: The massless modular Hamiltonian

Authors: Roberto Longo, Gerardo Morsella

Comments: Changes w.r.t. v. 3: only this comment. Changes w.r.t. v. 2: the results on the massive modular hamiltonian of a ball contained a gap, and have been removed. 23 pages, 1 figure

Subjects: Mathematical Physics (math-ph); Information Theory (cs.IT); High Energy Physics - Theory (hep-th); Analysis of PDEs (math.AP); Operator Algebras (math.OA)

[342]  arXiv:2012.00585 (cross-list from math.NA) [pdf, other]

Title: A flexible sparse matrix data format and parallel algorithms for the assembly of sparse matrices in general finite element applications using atomic synchronisation primitives

Authors: Adam Sky, César Polindara, Ingo Muench, Carolin Birk

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[343]  arXiv:2012.01261 (cross-list from math-ph) [pdf, ps, other]

Title: Reconstruction Theorem for Germs of Distributions on Smooth Manifolds

Authors: Paolo Rinaldi, Federico Sclavi

Comments: 14 pages, minor changes. To appear on Journal of Mathematical Analysis and Applications

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Probability (math.PR)

[344]  arXiv:2012.01343 (cross-list from math-ph) [pdf, other]

Title: Domain wall motion in axially symmetric spintronic nanowires

Authors: Jens D. M. Rademacher, Lars Siemer

Comments: 42 pages, 10 figures

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[345]  arXiv:2012.01550 (cross-list from math.DG) [pdf, ps, other]

Title: Bochner-Kodaira Formulas and the Type IIA Flow

Authors: Teng Fei, Duong H. Phong, Sebastien Picard, Xiangwen Zhang

Comments: 36 pages, comments welcome!

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Symplectic Geometry (math.SG)

[346]  arXiv:2012.01727 (cross-list from math.DG) [pdf, other]

Title: Classification of ancient flows by sub-affine-critical powers of curvature in $\mathbb{R}^2$

Authors: Kyeongsu Choi, Liming Sun

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[347]  arXiv:2012.02126 (cross-list from math.PR) [pdf, other]

Title: Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process

Authors: Nicolas Dirr, Benjamin Fehrman, Benjamin Gess

Comments: The paper has been entirely rewritten. Our methods now treat the SPDE analogue of the SSEP, including square root noise coefficients, and establish a novel a priori estimate in $L^\infty$ for the solutions. We have also added a new section that includes numerical simulations

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[348]  arXiv:2012.02187 (cross-list from math.NT) [pdf, ps, other]

Title: Spectral aspect subconvex bounds for ${\rm U}_{n+1} \times {\rm U}_{n}$

Authors: Paul D. Nelson

Comments: 120 pages, 4 figures; to appear in Invent. Math. v4: minor corrections/clarifications, volume bounds formulated more generally

Subjects: Number Theory (math.NT); Analysis of PDEs (math.AP); Representation Theory (math.RT)

[349]  arXiv:2012.02214 (cross-list from math.DG) [pdf, ps, other]

Title: Donaldson Functional in Teichmüller Theory

Authors: Zheng Huang, Marcello Lucia, Gabriella Tarantello

Comments: pre-publication version, to appear IMRN

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Complex Variables (math.CV); Representation Theory (math.RT)

[350]  arXiv:2012.03053 (cross-list from math.CA) [pdf, ps, other]

Title: A note on the Korn inequality in a n-dimensional context

Authors: Fabio Silva Botelho

Comments: 6 pages

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[351]  arXiv:2012.03090 (cross-list from math.FA) [src]

Title: $L^p$-Poincaré inequalities on nested fractals

Authors: Fabrice Baudoin, Li Chen

Comments: Paper is outdated in terms of scope and methods. Also requires several revisions. See in particular 2207.02949

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Metric Geometry (math.MG); Probability (math.PR)

[352]  arXiv:2012.03114 (cross-list from math.CA) [pdf, ps, other]

Title: Optimal polymer slugs injection profiles

Authors: F. Bakharev, A. Enin, K. Kalinin, Yu. Petrova, N. Rastegaev, S. Tikhomirov

Journal-ref: J. Comput. Appl. Math. 425:115042, 2023

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[353]  arXiv:2012.03366 (cross-list from math.SP) [pdf, other]

Title: How to hear the corners of a drum

Authors: Medet Nursultanov, Julie Rowlett, David Sher

Comments: This is the author original manuscript that was submitted for publication in Matrix Annals. The published version has been revised

Journal-ref: Wood D., de Gier J., Praeger C., Tao T. (eds) 2017 MATRIX Annals. MATRIX Book Series, vol 2. Springer, Cham

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[354]  arXiv:2012.03821 (cross-list from math.DS) [pdf, other]

Title: Inertial manifolds and foliations for asymptotically compact cocycles in Banach spaces

Authors: Mikhail Anikushin

Subjects: Dynamical Systems (math.DS); Analysis of PDEs (math.AP)

[355]  arXiv:2012.03944 (cross-list from math.FA) [pdf, ps, other]

Title: Fredholm conditions for operators invariant with respect to compact Lie group actions

Authors: Alexandre Baldare, Rémi Côme, Victor Nistor

Comments: eight pages, it explains the main differences in the discrete and non-discrete cases

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Differential Geometry (math.DG); Representation Theory (math.RT); Spectral Theory (math.SP)

[356]  arXiv:2012.04161 (cross-list from math.PR) [pdf, ps, other]

Title: SDEs with critical time dependent drifts: weak solutions

Authors: Michael Röckner, Guohuan Zhao

Comments: 29 pages

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[357]  arXiv:2012.04234 (cross-list from math-ph) [pdf, ps, other]

Title: Analysis of a viscoelastic phase separation model

Authors: Aaron Brunk, Burkhard Dünweg, Herbert Egger, Oliver Habrich, Maria Lukacova-Medvidova, Dominic Spiller

Comments: 10 pages, 8 figures

Journal-ref: J. Phys.: Condens. Matter 33 234002 2021

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[358]  arXiv:2012.04356 (cross-list from math.PR) [pdf, ps, other]

Title: Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise

Authors: Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann, Günther Grün

Comments: 50 pages, accepted version

Journal-ref: Arch. Rational Mech. Anal. 242(1) 179-234 (2021)

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[359]  arXiv:2012.04430 (cross-list from math.DG) [pdf, ps, other]

Title: Ricci Flow on Manifolds with Boundary with Arbitrary Initial Metric

Authors: Tsz-Kiu Aaron Chow

Comments: 55 pages, improved exposition

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[360]  arXiv:2012.04448 (cross-list from math.FA) [pdf, ps, other]

Title: Nonlinear parabolic stochastic evolution equations in critical spaces Part II. Blow-up criteria and instantaneous regularization

Authors: Antonio Agresti, Mark Veraar

Comments: Accepted for publication in Journal of Evolution Equations. Few typos corrected

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Probability (math.PR)

[361]  arXiv:2012.04520 (cross-list from math.NA) [pdf, ps, other]

Title: Numerical analysis of a wave equation for lossy media obeying a frequency power law

Authors: Katherine Baker, Lehel Banjai

Comments: For code used in numerics see, this https URL

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[362]  arXiv:2012.04822 (cross-list from math.NA) [pdf, other]

Title: A Sampling Type Method in an Electromagnetic Waveguide

Authors: Shixu Meng

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[363]  arXiv:2012.04943 (cross-list from math.DS) [pdf, ps, other]

Title: Multi-Population Phase Oscillator Networks with Higher-Order Interactions

Authors: Christian Bick, Tobias Böhle, Christian Kuehn

Comments: 35 pages, 0 figures

Journal-ref: Nonlinear Differential Equations and Applications, 2022

Subjects: Dynamical Systems (math.DS); Disordered Systems and Neural Networks (cond-mat.dis-nn); Analysis of PDEs (math.AP); Adaptation and Self-Organizing Systems (nlin.AO)

[364]  arXiv:2012.05376 (cross-list from math.FA) [pdf, ps, other]

Title: Dyadic bi-parameter simple commutator and dyadic little BMO

Authors: Irina Holmes, Sergei Treil, Alexander Volberg

Comments: 14 pages

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[365]  arXiv:2012.05401 (cross-list from math.DG) [pdf, ps, other]

Title: Generic Regularity of Minimal Hypersurfaces in Dimension 8

Authors: Yangyang Li, Zhihan Wang

Comments: 27 pages: Some arguments simplified; References added; Comments welcome

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[366]  arXiv:2012.05504 (cross-list from math.OC) [pdf, ps, other]

Title: Null-controllability, exact controllability, and stabilization of hyperbolic systems for the optimal time

Authors: Jean-Michel Coron, Hoai-Minh Nguyen

Comments: To appear in the proceedings of the 2020 59th IEEE Conference on Decision and Control. arXiv admin note: text overlap with arXiv:1910.12268

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[367]  arXiv:2012.05521 (cross-list from math-ph) [pdf, ps, other]

Title: Extension of the principle of least action with focus on dissipative equations

Authors: Richard Kowar

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[368]  arXiv:2012.05638 (cross-list from math.SP) [pdf, ps, other]

Title: Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks

Authors: Sultan Aitzhan, Sambhav Bhandari, David Andrew Smith

Comments: 65 pages, 3 figures, 1 table

Subjects: Spectral Theory (math.SP); Analysis of PDEs (math.AP)

[369]  arXiv:2012.05670 (cross-list from math.OC) [pdf, ps, other]

Title: Uniqueness for Riccati equations with unbounded operator coefficients

Authors: Paolo Acquistapace, Francesca Bucci

Comments: 33 pages, an appendix. The revision pertains almost exclusively to the sections 1.1 and 1.2: historical synopsis expanded, insight into the mathematical proofs slightly amended; minor typos have been fixed

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[370]  arXiv:2012.05851 (cross-list from math.SP) [pdf, other]

Title: The sound of symmetry

Authors: Zhiqin Lu, Julie Rowlett

Comments: This is the author original manuscript that was originally submitted. A significantly revised is published in the American Math Monthly

Journal-ref: The American Mathematical Monthly, 122:9, (2015), 815-835

Subjects: Spectral Theory (math.SP); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[371]  arXiv:2012.06465 (cross-list from math.SP) [pdf, other]

Title: One can hear the corners of a drum

Authors: Zhiqin Lu, Julie Rowlett

Comments: This is the author's original manuscript that was submitted to Bulletin of the London Mathematical Society. A significantly revised final version is published in BLMS

Journal-ref: Bull. London Math. Soc., 48, no. 1, (2016), 85-93

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[372]  arXiv:2012.06489 (cross-list from math.SP) [pdf, ps, other]

Title: Eigenvalue Estimates on Bakry-Emery Manifolds

Authors: Nelia Charalambous, Zhiqin Lu, Julie Rowlett

Comments: This is a preliminary version of the article by the same name that was subsequently revised and published in the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 119)

Journal-ref: In: Escher J., Schrohe E., Seiler J., Walker C. (eds) Elliptic and Parabolic Equations. Springer Proceedings in Mathematics & Statistics, vol 119. Springer, Cham. (2015) 45-61

Subjects: Spectral Theory (math.SP); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[373]  arXiv:2012.06518 (cross-list from math.SP) [pdf, ps, other]

Title: La géométrie de Bakry-Émery et l'écart fondamental

Authors: Julie Rowlett

Comments: in French. This is a preliminary version of the published article of the same title, freely available online!

Journal-ref: S\'eminaire de th\'eorie spectrale et g\'eom\'etrie, Tome 28 (2009-2010) , pp. 147-157

Subjects: Spectral Theory (math.SP); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[374]  arXiv:2012.06729 (cross-list from math.PR) [pdf, ps, other]

Title: A remark on Gibbs measures with log-correlated Gaussian fields

Authors: Tadahiro Oh, Kihoon Seong, Leonardo Tolomeo

Comments: 41 pages. Minor modifications. Published in Forum Math. Sigma

Journal-ref: Forum Math. Sigma. 12 (2024), e50, 40 pp

Subjects: Probability (math.PR); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[375]  arXiv:2012.07104 (cross-list from math.DG) [pdf, ps, other]

Title: Rigidity of complete self-shrinkers whose tangent planes omit a nonempty set

Authors: Hilário Alencar, Manuel Cruz, Gregório Silva Neto

Comments: 17 pages, 1 figure. Final version

Journal-ref: Results Math. 78 (2023), no. 4, Paper No. 125, 16 pp

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Metric Geometry (math.MG)

[376]  arXiv:2012.07234 (cross-list from math.CA) [pdf, ps, other]

Title: Regularity of fractional heat semigroup associated with Schrödinger operators

Authors: P. Li, Z. Wang, T. Qian, C. Zhang

Comments: 46 pages

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP)

[377]  arXiv:2012.07253 (cross-list from math.OC) [pdf, ps, other]

Title: Characterizations of complete stabilizability

Authors: Hanbing Liu, Gengsheng Wang, Yashan Xu, Huaiqiang Yu

Comments: 28 pages

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[378]  arXiv:2012.07705 (cross-list from math.OC) [pdf, ps, other]

Title: A hybrid control framework for an optimal visiting problem

Authors: Fabio Bagagiolo, Adriano Festa, Luciano Marzufero

Comments: arXiv admin note: text overlap with arXiv:2012.08596

Journal-ref: IFAC-PapersOnLine, 54(5), 241-246 (2021)

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[379]  arXiv:2012.07712 (cross-list from math.OC) [pdf, other]

Title: The orienteering problem: a hybrid control formulation

Authors: Fabio Bagagiolo, Adriano Festa, Luciano Marzufero

Journal-ref: IFAC-PapersOnLine, 54(5), 175-180 (2021)

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[380]  arXiv:2012.07946 (cross-list from math-ph) [pdf, ps, other]

Title: Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes

Authors: Kouichi Taira

Comments: Proof of Lemma 3.5 is corrected

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[381]  arXiv:2012.07956 (cross-list from math.DG) [pdf, ps, other]

Title: Nakai-Moishezon criterions for complex Hessian equations

Authors: Jian Song

Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG); Analysis of PDEs (math.AP)

[382]  arXiv:2012.07992 (cross-list from math.NA) [pdf, ps, other]

Title: Notes on numerical analysis and solitary wave solutions of Boussinesq/Boussinesq systems for internal waves

Authors: V. A. Dougalis, A. Duran, L. Saridaki

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[383]  arXiv:2012.08596 (cross-list from math.OC) [pdf, ps, other]

Title: Hybrid control for optimal visiting problems for a single player and for a crowd

Authors: Fabio Bagagiolo, Adriano Festa, Luciano Marzufero

Journal-ref: Nonlinear Differential Equations and Applications, 29(4) (2022)

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[384]  arXiv:2012.08992 (cross-list from math.DS) [pdf, ps, other]

Title: Dynamics for a Ratio-dependent Prey-predator Model with Different Free Boundaries

Authors: Lingyu Liu

Subjects: Dynamical Systems (math.DS); Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[385]  arXiv:2012.09040 (cross-list from math.PR) [pdf, ps, other]

Title: Absolute continuity of the Super-Brownian motion with infinite mean

Authors: Rustam Mamin, Leonid Mytnik

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[386]  arXiv:2012.09099 (cross-list from math.OC) [pdf, ps, other]

Title: Asymptotic analysis for Hamilton-Jacobi-Bellman equations on Euclidean space

Authors: Piermarco Cannarsa, Cristian Mendico

Comments: 30 pages

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[387]  arXiv:2012.09145 (cross-list from math-ph) [pdf, other]

Title: On the two-dimensional quantum confined Stark effect in strong electric fields

Authors: Horia Cornean, David Krejcirik, Thomas Garm Pedersen, Nicolas Raymond, Edgardo Stockmeyer

Journal-ref: SIAM J. Math. Anal. 54 (2022) 2114-2127

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Spectral Theory (math.SP); Quantum Physics (quant-ph)

[388]  arXiv:2012.09362 (cross-list from math.NA) [pdf, other]

Title: Approximation of Hysteresis Functional

Authors: Malgorzata Peszynska, Ralph E. Showalter

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[389]  arXiv:2012.09490 (cross-list from math.DG) [pdf, ps, other]

Title: Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds

Authors: Mattia Fogagnolo, Lorenzo Mazzieri

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Functional Analysis (math.FA); Metric Geometry (math.MG)

[390]  arXiv:2012.09548 (cross-list from math-ph) [pdf, other]

Title: The $N$-clock model: Variational analysis for fast and slow divergence rates of $N$

Authors: Marco Cicalese, Gianluca Orlando, Matthias Ruf

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[391]  arXiv:2012.09908 (cross-list from math.OC) [pdf, ps, other]

Title: A model reference adaptive system approach for nonlinear online parameter identification

Authors: Barbara Kaltenbacher, Tram Thi Ngoc Nguyen

Comments: accepted manuscript in Inverse Problems

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[392]  arXiv:2012.10148 (cross-list from math.PR) [pdf, ps, other]

Title: The stochastic $p$-Laplace equation on $\mathbb{R}^d$

Authors: Kerstin Schmitz, Aleksandra Zimmermann

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[393]  arXiv:2012.10514 (cross-list from math.AT) [pdf, ps, other]

Title: Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces

Authors: Peter Bubenik, Alex Elchesen

Comments: 33 pages, accepted to the Journal of Applied and Computational Topology

Journal-ref: Journal of Applied and Computational Topology (2022)

Subjects: Algebraic Topology (math.AT); Analysis of PDEs (math.AP); Metric Geometry (math.MG)

[394]  arXiv:2012.10634 (cross-list from math-ph) [pdf, ps, other]

Title: Shallow-water equations with complete Coriolis force: Group Properties and Similarity Solutions

Authors: Andronikos Paliathanasis

Comments: 14 pages, 2 figures, to appear in Math. Meth. Appl. Sci

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)

[395]  arXiv:2012.10864 (cross-list from math.PR) [pdf, ps, other]

Title: Boundary conditions for nonlocal one-sided pseudo-differential operators and the associated stochastic processes I

Authors: Boris Baeumer, Mihály Kovács, Lorenzo Toniazzi

Comments: 81 pages, submitted for publication

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[396]  arXiv:2012.11039 (cross-list from math.MG) [pdf, ps, other]

Title: Sharp discrete isoperimetric inequalities in periodic graphs via discrete PDE and Semidiscrete Optimal Transport

Authors: Mircea Petrache, Matias Gomez

Comments: 31 pages. Comments are welcome

Subjects: Metric Geometry (math.MG); Analysis of PDEs (math.AP); Combinatorics (math.CO)

[397]  arXiv:2012.11042 (cross-list from math.NA) [pdf, ps, other]

Title: Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift

Authors: Yuxuan Gong, Peijun Li, Xu Wang, Xiang Xu

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[398]  arXiv:2012.11057 (cross-list from math.FA) [pdf, ps, other]

Title: On the multiplier problem for the ball on graded Lie groups

Authors: Duván Cardona

Comments: 10 pages

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Group Theory (math.GR); Representation Theory (math.RT); Spectral Theory (math.SP)

[399]  arXiv:2012.11129 (cross-list from math.NA) [pdf, other]

Title: A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits

Authors: Chou Kao, Yu-Yu Liu, Jack Xin

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[400]  arXiv:2012.11234 (cross-list from math.CA) [pdf, ps, other]

Title: On parabolic convergence of positive solutions of the heat equation

Authors: Jayanta Sarkar

Comments: 15 pages

Journal-ref: Complex Variables and Elliptic Equations (2021)

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP)

[401]  arXiv:2012.11309 (cross-list from math.CA) [pdf, ps, other]

Title: Gegenbauer kernel filtration on the unit hypersphere

Authors: Louis Omenyi, McSylvester Omaba

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP)

[402]  arXiv:2012.11549 (cross-list from math.DG) [pdf, ps, other]

Title: Evolving convex curves by a generalized length-preserving flow

Authors: Laiyuan Gao, Shengliang Pan

Comments: 25 pages

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[403]  arXiv:2012.11862 (cross-list from math.DG) [pdf, ps, other]

Title: Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature

Authors: Zoltán M. Balogh, Alexandru Kristály

Comments: 23 pages; the paper has been shortened, changing also its title. To appear in Mathematische Annalen

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[404]  arXiv:2012.12003 (cross-list from math.PR) [pdf, other]

Title: Fractional Cauchy problem on random snowflakes

Authors: Raffaela Capitanelli, Mirko D'Ovidio

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[405]  arXiv:2012.12005 (cross-list from math.FA) [pdf, ps, other]

Title: The dynamical Schrödinger problem in abstract metric spaces

Authors: Léonard Monsaingeon, Luca Tamanini, Dmitry Vorotnikov

Comments: Accepted in Advances in Mathematics

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Metric Geometry (math.MG); Optimization and Control (math.OC)

[406]  arXiv:2012.12075 (cross-list from math.DG) [pdf, ps, other]

Title: Asymptotic rigidity for shells in non-Euclidean elasticity

Authors: Itai Alpern, Raz Kupferman, Cy Maor

Comments: Version 2: minor changes

Journal-ref: Journal of Functional Analysis, 283(6) (2022), 109575

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[407]  arXiv:2012.12380 (cross-list from math.NA) [pdf, other]

Title: Quantitative PAT with simplified $P_N$ approximation

Authors: Hongkai Zhao, Yimin Zhong

Comments: 32 pages

Subjects: Numerical Analysis (math.NA); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[408]  arXiv:2012.12765 (cross-list from math.PR) [pdf, ps, other]

Title: Global martingale solutions for a stochastic Shigesada-Kawasaki-Teramoto population model

Authors: Gaurav Dhariwal, Florian Huber, Ansgar Jüngel

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[409]  arXiv:2012.12779 (cross-list from math.NA) [pdf, other]

Title: Optimal and Low-Memory Near-Optimal Preconditioning of Fully Implicit Runge-Kutta Schemes for Parabolic PDEs

Authors: Xiangmin Jiao, Xuebin Wang, Qiao Chen

Journal-ref: SIAM Journal on Scientific Computing (2021)

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[410]  arXiv:2012.12828 (cross-list from math.DS) [pdf, other]

Title: Constructing Turing complete Euler flows in dimension $3$

Authors: Robert Cardona, Eva Miranda, Daniel Peralta-Salas, Francisco Presas

Comments: minor changes, 16 pages, 2 figures

Journal-ref: Proceedings of the National Academy of Sciences May 2021, 118 (19) e2026818118

Subjects: Dynamical Systems (math.DS); Computational Complexity (cs.CC); Analysis of PDEs (math.AP); Symplectic Geometry (math.SG)

[411]  arXiv:2012.12888 (cross-list from math.PR) [pdf, other]

Title: Uniform, localized asymptotics for sub-Riemannian heat kernels and diffusions

Authors: Robert W. Neel, Ludovic Sacchelli

Comments: 58 pages, 4 figures

Subjects: Probability (math.PR); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[412]  arXiv:2012.13035 (cross-list from math.FA) [pdf, ps, other]

Title: Besov and Triebel-Lizorkin Spaces on Spaces of Homogeneous Type with Applications to Boundedness of Calderón-Zygmund Operators

Authors: Fan Wang, Yongsheng Han, Ziyi He, Dachun Yang

Comments: 116 pages, Submitted

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[413]  arXiv:2012.13067 (cross-list from math.DG) [pdf, ps, other]

Title: Stability property and Dirichlet problem for translating solitons

Authors: Li Ma, Vicente Miquel

Comments: 15 pages

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[414]  arXiv:2012.13069 (cross-list from math.DG) [pdf, ps, other]

Title: Yamabe metrics, Fine solutions to the Yamabe flow, and local L1-stability

Authors: Li Ma

Comments: submiited, 20 pages

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[415]  arXiv:2012.13071 (cross-list from math.DG) [pdf, ps, other]

Title: Two solutions to Kazdan-Warner's problem on surfaces

Authors: Li Ma

Comments: 9 pages, submiited to PAMS

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[416]  arXiv:2012.13157 (cross-list from math-ph) [pdf, other]

Title: Helmholtz Decomposition and Rotation Potentials in n-dimensional Cartesian Coordinates

Authors: Erhard Glötzl, Oliver Richters

Comments: v1: 12 pages, 1 figure, 1 table. -- v2: 13 pages, 1 figure, 1 table. Difference to v1: Sign change in the definitions of all rotation operators, nicer diagram, proof that curl g(x) = 0, wording, typos. -- v3: 13 pages. Difference to v2: mainly typos

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[417]  arXiv:2012.13272 (cross-list from math.DG) [pdf, ps, other]

Title: A direct approach to prescribing scalar curvature on bundles

Authors: Leonardo Francisco Cavenaghi, Llohann Dallagnol Sperança

Comments: The new title is aimed to exemplify how we changed the approach in the paper. The results had their statement corrected, and a full manuscript review was made

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[418]  arXiv:2012.13379 (cross-list from math.DG) [pdf, ps, other]

Title: Existence of constant mean curvature 2-spheres in Riemannian 3-spheres

Authors: Da Rong Cheng, Xin Zhou

Comments: 55 pages. Acknowledgement section restored. No other changes from v2. To appear in Communications on Pure and Applied Mathematics

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[419]  arXiv:2012.13702 (cross-list from math.NA) [pdf, other]

Title: A well-balanced positivity preserving cell-vertex finite volume method satisfying the discrete maximum-minimum principle for coupled models of surface water flow and scalar transport

Authors: Hasan Karjoun, Abdelaziz Beljadid, Philippe G. LeFloch

Comments: 29 pages

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[420]  arXiv:2012.14003 (cross-list from math.DG) [pdf, other]

Title: On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation

Authors: Ari Aiolfi, Daniel Bustos, Jaime Ripoll

Comments: To appear on Proceedings of the American Mathematical Society

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[421]  arXiv:2012.14037 (cross-list from math.PR) [pdf, ps, other]

Title: On the multi-bubble blow-up solutions to rough nonlinear Schrödinger equations

Authors: Yiming Su, Deng Zhang

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[422]  arXiv:2012.14040 (cross-list from math.DG) [pdf, ps, other]

Title: Compactness of harmonic maps of surfaces with regular nodes

Authors: Woongbae Park

Comments: 22 pages

Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG); Analysis of PDEs (math.AP)

[423]  arXiv:2012.14241 (cross-list from math-ph) [pdf, ps, other]

Title: Stable cosmologies with collisionless charged matter

Authors: Hamed Barzegar, David Fajman

Comments: minor typos corrected

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP)

[424]  arXiv:2012.14307 (cross-list from math.DG) [pdf, ps, other]

Title: A semiclassical approach to geometric X-ray transforms in the presence of convexity

Authors: András Vasy

Comments: 17 pages

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[425]  arXiv:2012.14510 (cross-list from math.PR) [pdf, ps, other]

Title: Singular perturbations and asymptotic expansions for SPDEs with an application to term structure models

Authors: Sergio Albeverio, Carlo Marinelli, Elisa Mastrogiacomo

Comments: 30 pages

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[426]  arXiv:2012.15338 (cross-list from math.PR) [pdf, ps, other]

Title: On the differentiability of solutions to singularly perturbed SPDEs

Authors: Carlo Marinelli

Comments: 11 pages

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[427]  arXiv:2012.15530 (cross-list from math.DG) [pdf, ps, other]

Title: Area minimizing surfaces in homotopy classes in metric spaces

Authors: Elefterios Soultanis, Stefan Wenger

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[428]  arXiv:2012.15767 (cross-list from math.DG) [pdf, ps, other]

Title: The Obata first eigenvalue theorems on a seven dimensional quaternionic contact manifold

Authors: Abdelrahman Mohamed, Dimiter Vassilev

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[429]  arXiv:2012.02849 (cross-list from physics.flu-dyn) [pdf, ps, other]

Title: Velocity of viscous fingers in miscible displacement

Authors: F. Bakharev, A. Enin, A. Groman, A. Kalyuzhnuk, S. Matveenko, Yu. Petrova, I.Starkov, S. Tikhomirov

Journal-ref: J. Comput. Appl. Math. 402:113808, 2022

Subjects: Fluid Dynamics (physics.flu-dyn); Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[430]  arXiv:2012.03303 (cross-list from physics.bio-ph) [pdf, other]

Title: A Tridomain Model for Potassium Clearance in Optic Nerve of Necturus

Authors: Yi Zhu, Shixin Xu, Robert S. Eisenberg, Huaxiong Huang

Comments: 35 pages, 13 figures

Subjects: Biological Physics (physics.bio-ph); Analysis of PDEs (math.AP); Neurons and Cognition (q-bio.NC)

[431]  arXiv:2012.03772 (cross-list from cs.LG) [pdf, ps, other]

Title: Continuum Limit of Lipschitz Learning on Graphs

Authors: Tim Roith, Leon Bungert

Comments: 39 pages, added acknowledgement, corrected typos

Journal-ref: Found Comput Math (2022)

Subjects: Machine Learning (cs.LG); Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[432]  arXiv:2012.04070 (cross-list from physics.flu-dyn) [pdf, other]

Title: Mathematical Analysis of a Model of Blood Flow through a Channel with Flexible Walls

Authors: Marianna A. Shubov, Madeline M. Edwards

Subjects: Fluid Dynamics (physics.flu-dyn); Analysis of PDEs (math.AP)

[433]  arXiv:2012.09074 (cross-list from astro-ph.CO) [pdf, other]

Title: A fast semi-discrete optimal transport algorithm for a unique reconstruction of the early Universe

Authors: Bruno Lévy, Roya Mohayaee, Sebastian von Hausegger

Comments: 22 pages

Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO); Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[434]  arXiv:2012.10115 (cross-list from q-bio.PE) [pdf, ps, other]

Title: Evolutionary dynamics of complex traits in sexual populations in a strongly heterogeneous environment: how normal?

Authors: Léonard Dekens

Subjects: Populations and Evolution (q-bio.PE); Analysis of PDEs (math.AP)

[435]  arXiv:2012.14492 (cross-list from hep-th) [pdf, ps, other]

Title: Hypergeometric Functions and Feynman Diagrams

Authors: Mikhail Kalmykov, Vladimir Bytev, Bernd Kniehl, Sven-Olaf Moch, Bennie Ward, Scott Yost

Comments: Based on the talk given by M.Kalmykov at the workshop "Antidifferentiation and the Calculation of Feynman Amplitudes" Zeuthen, 4.10.2020-9.10.2020; v2: few references added, small style corrections

Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[436]  arXiv:2012.14918 (cross-list from physics.flu-dyn) [pdf, other]

Title: Input-output analysis of stochastic base flow uncertainty

Authors: Dhanushki Hewawaduge, Armin Zare

Comments: 29 pages, 20 figures

Journal-ref: Phys. Rev. Fluids 7 (2022) 073901

Subjects: Fluid Dynamics (physics.flu-dyn); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[437]  arXiv:2012.15344 (cross-list from nlin.SI) [pdf, ps, other]

Title: Instability of double-periodic waves in the nonlinear Schrodinger equation

Authors: Dmitry E. Pelinovsky

Comments: 15 pages, 7 figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Pattern Formation and Solitons (nlin.PS)

[438]  arXiv:2012.15448 (cross-list from q-bio.PE) [pdf, other]

Title: Light driven interactions in spatial predator-prey model with toxicant chemotaxis

Authors: A. Ibragimov, A. Peace

Subjects: Populations and Evolution (q-bio.PE); Analysis of PDEs (math.AP)

[439]  arXiv:2012.15538 (cross-list from nlin.SI) [pdf, ps, other]

Title: Parity-time-symmetric vector rational rogue wave solutions in any n-component nonlinear Schrödinger models

Authors: Guoqiang Zhang, Liming Ling, Zhenya Yan, Vladimir V. Konotop

Comments: 6 pages, 3 figures

Journal-ref: Chaos 31, 063120 (2021)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Pattern Formation and Solitons (nlin.PS); Optics (physics.optics)

[440]  arXiv:2012.15603 (cross-list from nlin.SI) [pdf, ps, other]

Title: Higher-order vector Peregrine solitons and asymptotic estimates for the multi-component nonlinear Schrödinger equations

Authors: Guoqiang Zhang, Liming Ling, Zhenya Yan

Comments: 42 pages, 7 figures

Journal-ref: Journal of Nonlinear Science 31 (2021) 81

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Pattern Formation and Solitons (nlin.PS); Computational Physics (physics.comp-ph)