Analysis of PDEs

Authors and titles for math.AP in Dec 2023

[1]  arXiv:2312.00126 [pdf, ps, other]

Title: Positive solutions to semilinear Dirichlet problems with general boundary data

Authors: Lucian Beznea, Alexandra Teodor

Subjects: Analysis of PDEs (math.AP)

[2]  arXiv:2312.00152 [pdf, other]

Title: On the Benjamin and related equations

Authors: C. Klein, F. Linares, D. Pilod, J.-C. Saut

Subjects: Analysis of PDEs (math.AP)

[3]  arXiv:2312.00197 [pdf, other]

Title: On The Convergence of the Variational Iteration Method Applied to Variable Coefficient Klein-Gordon Problems

Authors: Shohreh Gholizadeh Siahmazgi, Stephen B. Robinson

Subjects: Analysis of PDEs (math.AP)

[4]  arXiv:2312.00431 [pdf, ps, other]

Title: Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries

Authors: Antonín Češík, Giovanni Gravina, Malte Kampschulte

Comments: 24 pages

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

[5]  arXiv:2312.00433 [pdf, ps, other]

Title: Sobolev improvements on sharp Rellich inequalities

Authors: Gerassimos Barbatis, Achilles Tertikas

Comments: 20 pages; references have been added and minor corrections have been made; results unchanged; to appear in the J. Spectral Theory

Subjects: Analysis of PDEs (math.AP)

[6]  arXiv:2312.00465 [pdf, ps, other]

Title: Uniqueness and nondegeneracy of ground states for the Schrödinger-Newton equation with power nonlinearity

Authors: Huxiao Luo

Comments: arXiv admin note: text overlap with arXiv:2112.05869 by other authors

Subjects: Analysis of PDEs (math.AP)

[7]  arXiv:2312.00469 [pdf, ps, other]

Title: Maximum principles for nonlinear integro-differential equations and symmetry of solutions

Authors: Huxiao Luo, Meiqing Xu

Comments: arXiv admin note: text overlap with arXiv:1705.04891 by other authors

Subjects: Analysis of PDEs (math.AP)

[8]  arXiv:2312.00473 [pdf, ps, other]

Title: Normalized solutions for nonautonomous Schrödinger-Poisson equations

Authors: Yating Xu, Huxiao Luo

Subjects: Analysis of PDEs (math.AP)

[9]  arXiv:2312.00478 [pdf, ps, other]

Title: Degenerate Schr{ö}dinger-Kirchhoff $(p, N)$-Laplacian problem With singular Trudinger-Moser nonlinearity in $\mathbb{R}^N$

Authors: Deepak Kumar Mahanta, Tuhina Mukherjee, Abhishek Sarkar

Subjects: Analysis of PDEs (math.AP)

[10]  arXiv:2312.00546 [pdf, ps, other]

Title: Conservation and Breakdown of Modulus of Continuity in the Propagation of Loglog Vortex for 2D Euler equation

Authors: Woohyu Jeon

Comments: 29 pages, This version includes considerably upgraded results compared to the previous version

Subjects: Analysis of PDEs (math.AP)

[11]  arXiv:2312.00573 [pdf, ps, other]

Title: The spectrum of the Laplacian on closed manifolds and the heat asymptotics near cones

Authors: Nikolaos Roidos

Comments: 12 pages

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

[12]  arXiv:2312.00606 [pdf, other]

Title: The continuum limit of non-local Follow-the-Leader models

Authors: Helge Holden, Nils Henrik Risebro

Comments: Changed to periodic boundary conditions

Subjects: Analysis of PDEs (math.AP)

[13]  arXiv:2312.00617 [pdf, ps, other]

Title: Semilinear wave inequalities with double damping and potential terms on Riemannian Manifolds

Authors: Mohamed Jleli, Michael Ruzhansky, Bessem Samet, Berikbol T. Torebek

Comments: 21 pages

Subjects: Analysis of PDEs (math.AP)

[14]  arXiv:2312.00800 [pdf, ps, other]

Title: On the global convergence of Wasserstein gradient flow of the Coulomb discrepancy

Authors: Siwan Boufadène (LIGM, MOKAPLAN), François-Xavier Vialard (LIGM, MOKAPLAN)

Subjects: Analysis of PDEs (math.AP)

[15]  arXiv:2312.00807 [pdf, other]

Title: Wellposedness of a nonlinear parabolic-dispersive coupled system modelling MEMS

Authors: Heiko Gimperlein, Runan He, Andrew A. Lacey

Comments: 42 pages, 1 figure, to appear in Journal of Differential Equations. arXiv admin note: text overlap with arXiv:2304.14257

Journal-ref: Journal of Differential Equations 384 (2024), 193 - 251

Subjects: Analysis of PDEs (math.AP)

[16]  arXiv:2312.00815 [pdf, other]

Title: On the smallness conditions for a PEMFC single cell problem

Authors: Luisa Consiglieri

Comments: 32 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2212.12503

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

[17]  arXiv:2312.00821 [pdf, ps, other]

Title: Global well-posedness of a two dimensional wave-Klein-Gordon system with small non-compactly supported data

Authors: Xinyu Cheng

Comments: arXiv admin note: text overlap with arXiv:2210.13786

Subjects: Analysis of PDEs (math.AP)

[18]  arXiv:2312.00829 [pdf, other]

Title: Density of weak solutions of the fractional Navier-Stokes equations in the smooth divergence-free vector fields

Authors: Michele Gorini

Comments: arXiv admin note: substantial text overlap with arXiv:2009.06596 by other authors

Subjects: Analysis of PDEs (math.AP)

[19]  arXiv:2312.00945 [pdf, other]

Title: Homogenization of Leray's flux problem for the steady-state Navier-Stokes equations in a multiply-connected planar domain

Authors: Clara Patriarca, Gianmarco Sperone

Comments: 22 pages

Subjects: Analysis of PDEs (math.AP)

[20]  arXiv:2312.00998 [pdf, ps, other]

Title: On Dancer's conjecture for stable solutions with sign-changing nonlinearity

Authors: Yong Liu, Kelei Wang, Juncheng Wei, Ke Wu

Comments: 10 pages; comments are welcome

Subjects: Analysis of PDEs (math.AP)

[21]  arXiv:2312.01063 [pdf, ps, other]

Title: Lump type solutions: Backlund transformation and spectral properties

Authors: Yong Liu, Jun-cheng Wei, Wen Yang

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[22]  arXiv:2312.01069 [pdf, ps, other]

Title: Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the Poiseuille flow

Authors: Hao Li, Zhaoyin Xiang, Xiaoqian Xu

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[23]  arXiv:2312.01247 [pdf, other]

Title: Chaos for generalized Black-Scholes equations

Authors: Anna Maria Candela, Gisèle Ruiz Goldstein, Jerome A. Goldstein, Silvia Romanelli

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

[24]  arXiv:2312.01362 [pdf, ps, other]

Title: Comparison principle for Walsh's spider HJB equations with non linear local time Kirchhoff's boundary transmission

Authors: Isaac Ohavi

Subjects: Analysis of PDEs (math.AP)

[25]  arXiv:2312.01405 [pdf, ps, other]

Title: The Monge-Ampère equation in cones and polygonal domains

Authors: Genggeng Huang, Weiming Shen

Subjects: Analysis of PDEs (math.AP)