Analysis of PDEs

Authors and titles for math.AP in Oct 2023

[1]  arXiv:2310.00025 [pdf, other]

Title: The extension problem for fractional powers of higher order of some evolutive operators

Authors: Pietro Gallato

Comments: Thesis defended on October 5th, 2022. The results were presented in the minicourse "Fractional calculus and heat equation: from the classics to present time", taught by N. Garofalo in Sept 2022 at the Mittag-Leffler Institute. The video of the mini course is available at the web site this https URL

Subjects: Analysis of PDEs (math.AP)

[2]  arXiv:2310.00209 [pdf, ps, other]

Title: Nonlinear stability of entropy waves for the Euler equations

Authors: Wei Wang, Zhifei Zhang, Wenbin Zhao

Comments: 23 pages. One appendix deleted. All comments are welcome

Subjects: Analysis of PDEs (math.AP)

[3]  arXiv:2310.00217 [pdf, ps, other]

Title: Regularity criteria of 3D generalized magneto-micropolar fluid system in terms of the pressure

Authors: Jae-Myoung Kim

Subjects: Analysis of PDEs (math.AP)

[4]  arXiv:2310.00269 [pdf, other]

Title: Well-posedness and Long Time Behavior of the Euler Alignment System with Adaptive Communication Strength

Authors: Roman Shvydkoy, Trevor Teolis

Subjects: Analysis of PDEs (math.AP)

[5]  arXiv:2310.00537 [pdf, other]

Title: On the Existence of Solution of Conservation Law with Moving Bottleneck and Discontinuity in FLux

Authors: Hossein Nick Zinat Matin, Maria Laura Delle Monache

Comments: 51 pages, 29 Figures

Subjects: Analysis of PDEs (math.AP)

[6]  arXiv:2310.00556 [pdf, ps, other]

Title: Axial Symmetry of Normalized Solutions for Magnetic Gross-Pitaevskii Equations with Anharmonic Potentials

Authors: Yujin Guo, Yan Li, Yong Luo, Shuangjie Peng

Subjects: Analysis of PDEs (math.AP)

[7]  arXiv:2310.00628 [pdf, other]

Title: Low Mach number limit of strong solutions to the compressible primitive equations with gravity

Authors: Pengcheng Mu

Subjects: Analysis of PDEs (math.AP)

[8]  arXiv:2310.00645 [pdf, ps, other]

Title: An alternative proof of the $L^p$-regularity problem for Dahlberg-Kenig-Pipher operators on $\mathbb R^n_+$

Authors: Joseph Feneuil

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP)

[9]  arXiv:2310.00700 [pdf, ps, other]

Title: Carleman Estimates for Second Order Elliptic Operators with Limiting Weights, an Elementary Approach

Authors: Zengyu Li, Qi Lü

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

[10]  arXiv:2310.00732 [pdf, other]

Title: Leapfrogging vortex rings as scaling limit of Euler Equations

Authors: Paolo Buttà, Guido Cavallaro, Carlo Marchioro

Comments: 33 pages, 1 figure

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

[11]  arXiv:2310.00756 [pdf, other]

Title: Stability and bifurcation for logistic Keller--Segel models on compact graphs

Authors: Hewan Shemtaga, Wenxian Shen, Selim Sukhtaiev

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

[12]  arXiv:2310.00767 [pdf, ps, other]

Title: Sobolev spaces for singular perturbation of Laplace operato

Authors: Vladimir Georgiev, Mario Rastrelli

Comments: 20 pages

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

[13]  arXiv:2310.00777 [pdf, ps, other]

Title: Local well-posedness of the Vlasov-Poisson-Landau System and the Massless Electron System

Authors: Patrick Flynn

Comments: 27 pages

Subjects: Analysis of PDEs (math.AP)

[14]  arXiv:2310.00869 [pdf, ps, other]

Title: The regularity of the coupled system between an electrical network with fractional dissipation and a plate equation with fractional inertial rotational

Authors: Santos R.W.S. Bejarano, Filomena B.R. Mendes, Fredy M. Sobrado Suárez, Gilson Tumelero, Marieli M. Tumelero

Comments: 40 pages

Subjects: Analysis of PDEs (math.AP)

[15]  arXiv:2310.00925 [pdf, ps, other]

Title: A representation formula for viscosity solutions of nonlocal Hamilton--Jacobi equations and applications

Authors: Takashi Kagaya, Qing Liu, Hiroyoshi Mitake

Comments: 33 pages

Subjects: Analysis of PDEs (math.AP)

[16]  arXiv:2310.00979 [pdf, ps, other]

Title: Gevrey WKB method for PDO's of real principal type

Authors: Richard Lascar, Ivan Moyano

Subjects: Analysis of PDEs (math.AP)

[17]  arXiv:2310.00988 [pdf, other]

Title: Stability and Optimal Decay Rates for Abstract Systems with Thermal Damping of Cattaneo's Type

Authors: Chenxi Deng, Zhong-Jie Han, Zhaobin Kuang, Qiong Zhang

Comments: typos corrected

Subjects: Analysis of PDEs (math.AP)

[18]  arXiv:2310.00992 [pdf, ps, other]

Title: Logarithmic Sobolev, Hardy and Poincaré inequalities on the Heisenberg group

Authors: Marianna Chatzakou, Aidyn Kassymov, Michael Ruzhansky

Comments: 41 pages

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

[19]  arXiv:2310.01017 [pdf, ps, other]

Title: The Porous Media Schr{ö}dinger Equation : Feynman-type Motivation, Well-Posedness and Control Interpretation

Authors: Ioana Ciotir (LMI), Dan Goreac (LAMA), Juan Li, Xinru Zhang

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

[20]  arXiv:2310.01019 [pdf, ps, other]

Title: Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes

Authors: Guillaume Rialland

Subjects: Analysis of PDEs (math.AP)

[21]  arXiv:2310.01048 [pdf, ps, other]

Title: Gaussian estimates for general parabolic operators in dimension 1

Authors: Grégoire Nadin (IDP, CNRS)

Subjects: Analysis of PDEs (math.AP)

[22]  arXiv:2310.01054 [pdf, other]

Title: Lattice tilings minimizing nonlocal perimeters

Authors: Annalisa Cesaroni, Ilaria Fragalà, Matteo Novaga

Comments: 19 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[23]  arXiv:2310.01085 [pdf, ps, other]

Title: Canonical solutions to non-translation invariant singular SPDEs

Authors: Harprit Singh

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

[24]  arXiv:2310.01172 [pdf, ps, other]

Title: Stability conditions for mean-field limiting vorticities of the Ginzburg-Landau equations in 2D

Authors: Rémy Rodiac

Comments: 29 pages

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

[25]  arXiv:2310.01175 [pdf, other]

Title: Homogenization of supremal functionals in the vectorial case (via $L^p$-approximation)

Authors: Lorenza D'Elia, Michela Eleuteri, Elvira Zappale

Subjects: Analysis of PDEs (math.AP)