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)