Analysis of PDEs

Authors and titles for September 2025

[1] arXiv:2509.00292 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Boundary Value Problems for the Magnetic Laplacian in Semiclassical Analysis Show Chinese title

Title: 半经典分析中磁 Laplacian 的边界值问题

Zhongwei Shen

Subjects: Analysis of PDEs (math.AP)

[2] arXiv:2509.00455 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Non-symmetric solutions to an overdetermined problem for the Helmholtz equation in the plane Show Chinese title

Title: 平面上Helmholtz方程的超定问题的非对称解

Miles H. Wheeler

Comments: 11 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[3] arXiv:2509.00470 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: $p$-biharmonic Kirchhoff equations with critical Choquard nonlinearity Show Chinese title

Title: $p$-双调和Kirchhoff方程与临界Choquard非线性

Divya Goel, Sarika Goyal, Diksha Saini

Subjects: Analysis of PDEs (math.AP)

[4] arXiv:2509.00565 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Caccioppoli-type inequalities for the Dunkl-$A$-Laplacian and their application to nonexistence result Show Chinese title

Title: Caccioppoli型不等式对于Dunkl-$A$-Laplacian及其在非存在性结果中的应用

Athulya P, Sandeep Kumar Verma

Comments: 21 pages

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

[5] arXiv:2509.00609 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: $C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Show Chinese title

Title: $C^{\infty}$一阶分数拉普拉斯问题自由边界的正则性

Runcao Lyu

Subjects: Analysis of PDEs (math.AP)

[6] arXiv:2509.00694 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Improved stability threshold for 2D Navier-Stokes Couette flow in an infinite channel Show Chinese title

Title: 二维无限通道中Navier-Stokes Couette流的改进稳定性阈值

Tao Liang, Jiahong Wu, Xiaoping Zhai

Comments: Any comments are welcome

Subjects: Analysis of PDEs (math.AP)

[7] arXiv:2509.00726 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: $Γ$-convergence and stochastic homogenization for functionals in the $\mathcal{A}$-free setting Show Chinese title

Title: $Γ$-收敛和在$\mathcal{A}$-自由设置中的泛函随机均质化

Gianni Dal Maso, Rita Ferreira, Irene Fonseca

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[8] arXiv:2509.00750 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Orbital Stability of First Laplacian Eigenstates for the Euler Equation on Flat 2-Tori Show Chinese title

Title: 第一拉普拉斯特征态在平面上二维环面上欧拉方程的轨道稳定性

Guodong Wang

Subjects: Analysis of PDEs (math.AP)

[9] arXiv:2509.00814 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Sharp gradient stability for a class of Hardy-Sobolev-Maz'ya inequalities Show Chinese title

Title: 一类Hardy-Sobolev-Maz'ya不等式的尖锐梯度稳定性

Wei Dai, Jingze Fu, An Zhang

Comments: 48 pages, no figure

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

[10] arXiv:2509.00817 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Superlinear problems involving nonlinear superposition operators of mixed fractional order Show Chinese title

Title: 涉及混合分数阶非线性叠加算子的超线性问题

Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[11] arXiv:2509.00927 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Non-minimizing Axially Symmetric Cavity Flow Show Chinese title

Title: 非最小化轴对称腔体流动

Masoud Bayrami, Morteza Fotouhi, Parisa Vosooqnejad

Subjects: Analysis of PDEs (math.AP)

[12] arXiv:2509.00977 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the regularity of continuous solutions to multidimensional scalar conservation laws with bounded source Show Chinese title

Title: 关于具有有界源的多维标量守恒律连续解的正则性

Fabio Ancona, Laura Caravenna, Alexander J. Cliffe, Elio Marconi

Subjects: Analysis of PDEs (math.AP)

[13] arXiv:2509.01067 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The Euler equations with variable coefficients Show Chinese title

Title: 带有变系数的欧拉方程

Benjamin Ingimarson, Igor Kukavica, Amjad Tuffaha

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[14] arXiv:2509.01138 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications Show Chinese title

Title: 完全非线性椭圆方程的Savin小扰动定理的推广及其应用

Zhenyu Fan

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[15] arXiv:2509.01155 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On finite-energy solutions of Kazan-Warner equations on the lattice graph Show Chinese title

Title: 关于格点图上有限能量的Kazan-Warner方程解

Huyuan Chen, Bobo hua

Comments: 28 pages

Subjects: Analysis of PDEs (math.AP)

[16] arXiv:2509.01196 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Regularity and dynamics of weak solutions for one-dimensional compressible Navier-Stokes equations with vacuum Show Chinese title

Title: 一维可压缩纳维-斯托克斯方程弱解的正则性与动力学与真空

Jin Tan, Yan-Lin Wang, Lan Zhang

Comments: 29 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[17] arXiv:2509.01268 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Global Existence, Hamiltonian Conservation and Vanishing Viscosity for the Surface Quasi-Geostrophic Equation Show Chinese title

Title: 全局存在性，哈密顿守恒和粘性消失的表面准地转方程

Luigi De Rosa, Mickaël Latocca, Jaemin Park

Subjects: Analysis of PDEs (math.AP)

[18] arXiv:2509.01316 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The continuous version of the generalized exchange-driven growth model Show Chinese title

Title: 广义交换驱动增长模型的连续版本

Prasanta K. Barik, Fernando P. da Costa, João T. Pinto, Rafael Sasportes

Subjects: Analysis of PDEs (math.AP)

[19] arXiv:2509.01355 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Regularizing effect of the natural growth term in quasilinear problems with sign-changing nonlinearities Show Chinese title

Title: 拟线性问题中自然增长项的正则化效应

José Carmona Tapia, Paolo Malanchini, Antonio J. Martínez Aparicio, Pedro J. Martínez-Aparicio

Subjects: Analysis of PDEs (math.AP)

[20] arXiv:2509.01475 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Nonlinear Fisher information, corresponding functional inequalities and applications Show Chinese title

Title: 非线性Fisher信息，对应的泛函不等式及其应用

Tomasz Cieślak, Kentaro Fujie, Tatsuya Hosono

Subjects: Analysis of PDEs (math.AP)

[21] arXiv:2509.01505 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Scattering norm estimate near the threshold for the energy-subcrtical NLS Show Chinese title

Title: 能量次临界NLS附近阈值的散射范数估计

Zuyu Ma

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP)

[22] arXiv:2509.01650 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Sharp unconditional well-posedness of the 2-$d$ periodic cubic hyperbolic nonlinear Schrödinger equation Show Chinese title

Title: 2-$d$周期三次双曲非线性薛定谔方程的严格无条件适定性

Engin Başakoğlu, Tadahiro Oh, Yuzhao Wang

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[23] arXiv:2509.01687 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Well-Posedness and Finite Time Singularity for Touching g-SQG Patches on the Plane Show Chinese title

Title: 适定性及平面上接触g-SQG片的有限时间奇异性

Junekey Jeon, Andrej Zlatos

Subjects: Analysis of PDEs (math.AP)

[24] arXiv:2509.01715 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Quadratic Growth Model with Discontinuity: A Link between Monostable and Bistable Traveling Waves Show Chinese title

Title: 具有不连续性的二次增长模型：单稳态与双稳态行波之间的联系

Wonhyung Choi, Junsik Bae, Yong-Jung Kim

Comments: 26 pages, 11 figures

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

[25] arXiv:2509.01783 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Embedding Results and Fractional $p(x,.)$-Laplacian Problem in Unbounded Domains Show Chinese title

Title: 嵌入结果和无界域中的分数$p(x,.)$-Laplacian 问题

Abdelkrim Barbara, Ahmed Bousmaha, Mohammed Shimi

Subjects: Analysis of PDEs (math.AP)

[26] arXiv:2509.01973 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Rate of convergence of the vanishing viscosity method for Hamilton-Jacobi equations with Neumann boundary conditions Show Chinese title

Title: 具有Neumann边界条件的Hamilton-Jacobi方程的消失粘性方法的收敛速率

Alessandro Goffi

Subjects: Analysis of PDEs (math.AP)

[27] arXiv:2509.02023 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Global existence of the irrotational Euler-Norstrom equations with a positive cosmological constant: The gravitational field equation Show Chinese title

Title: 无旋欧拉-诺特隆方程在正宇宙学常数下的整体存在性：引力场方程

Uwe Brauer, Lavi Karp

Subjects: Analysis of PDEs (math.AP)

[28] arXiv:2509.02037 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Relativistic BGK model for reactive gas mixtures Show Chinese title

Title: 相对论BGK模型用于反应性气体混合物

Seung-Yeon Cho, Byung-Hoon Hwang, Myeong-Su Lee, Seok-Bae Yun

Comments: 21 pages, 10 figures

Subjects: Analysis of PDEs (math.AP)

[29] arXiv:2509.02064 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Tangential touch between free and fixed boundaries for the fully nonlinear Alt-Phillips problem Show Chinese title

Title: 自由边界与固定边界之间的切向接触对于完全非线性Alt-Phillips问题

Yamin Wang, Hui Yu

Subjects: Analysis of PDEs (math.AP)

[30] arXiv:2509.02081 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Superexponential dissipation enhancement on $\mathbb{T}^d$ Show Chinese title

Title: 超指数耗散增强 on $\mathbb{T}^d$

Keefer Rowan

Comments: 32 pages

Subjects: Analysis of PDEs (math.AP)

[31] arXiv:2509.02140 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Non existence of solutions for a slightly super-critical elliptic problem with non-power nonlinearity Show Chinese title

Title: 略超临界椭圆问题非幂次非线性解的不存在性

Mohamed Ben Ayed, Habib Fourti

Subjects: Analysis of PDEs (math.AP)

[32] arXiv:2509.02158 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Well-posedness and scattering of odd solutions for the defocusing INLS in one dimension Show Chinese title

Title: 一维非聚焦INLS的奇解的适定性和散射

Zhi-Yuan Cui, Yuan Li, Dun Zhao

Subjects: Analysis of PDEs (math.AP)

[33] arXiv:2509.02176 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On analysis of problems of mathematical physics with non-Lipschitz boundaries Show Chinese title

Title: 对具有非Lipschitz边界的数学物理问题的分析

Anna Rozanova-Pierrat (MICS)

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

[34] arXiv:2509.02205 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: From Nash to Cournot--Nash via $Γ$-convergence Show Chinese title

Title: 从纳什到古诺-纳什通过$Γ$-收敛

Jo{ã}o Miguel Machado (LMCRC), Guilherme Mazanti (L2S, DISCO), Laurent Pfeiffer (L2S, DISCO)

Subjects: Analysis of PDEs (math.AP)

[35] arXiv:2509.02215 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Stability of viscous shock for the Navier-Stokes-Fourier system: outflow and impermeable wall problems Show Chinese title

Title: 粘性激波的稳定性：纳维-斯托克斯-傅里叶系统的流出和不可渗透壁问题

Xushan Huang, Hobin Lee, HyeonSeop Oh

Subjects: Analysis of PDEs (math.AP)

[36] arXiv:2509.02236 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: A numerical study of stability for solitary waves of a quasi-linear Schr{ö}dinger equation Show Chinese title

Title: A numerical study of stability for solitary waves of a quasi-linear Schr{ö}dinger equation

Meriem Bahhi (LJAD), Jonas Lampart (ICB), Christian Klein (IUF), Simona Rota Nodari (LJAD, IUF)

Subjects: Analysis of PDEs (math.AP)

[37] arXiv:2509.02286 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Show Chinese title

Title: 关于退化系数的非散度形式线性抛物和椭圆方程

Hongjie Dong, Junhee Ryu

Comments: 27 pages

Subjects: Analysis of PDEs (math.AP)

[38] arXiv:2509.02344 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation Show Chinese title

Title: 概率适定性超越方差爆破的色散PDE I：Benjamin-Bona-Mahony方程

Guopeng Li, Jiawei Li, Tadahiro Oh, Nikolay Tzvetkov

Comments: 45 pages

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

[39] arXiv:2509.02443 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the complex moment problem as a dynamic inverse problem for a discrete system Show Chinese title

Title: 关于复矩问题作为离散系统的动态逆问题

A. S. Mikhaylov, V. S. Mikhaylov

Subjects: Analysis of PDEs (math.AP)

[40] arXiv:2509.02536 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Sharp boundary regularity properties for hypoelliptic kinetic equations Show Chinese title

Title: 双曲抛物型运动方程的尖锐边界正则性性质

Yuzhe Zhu

Subjects: Analysis of PDEs (math.AP)

[41] arXiv:2509.02704 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Stabilization by Harvesting in Age-Structured Trophic Networks Show Chinese title

Title: 按年龄结构的营养级网络中的捕获稳定化

Marius Bargo, Yacouba Simpore

Subjects: Analysis of PDEs (math.AP)

[42] arXiv:2509.02733 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Superdiffusive fractional dynamics: Unveiling regularity results in systems with general positive self-adjoint operators Show Chinese title

Title: 超扩散分数动力学：揭示具有广义正自伴算子系统的正则性结果

Edgardo Alvarez, Ciprian G. Gal, Valentin Keyantuo, Mahamadi Warma

Subjects: Analysis of PDEs (math.AP)

[43] arXiv:2509.02736 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Modeling of radiating curved cables via coupled telegrapher's and Maxwell's equations Show Chinese title

Title: 通过耦合的电报员方程和麦克斯韦方程对辐射弯曲电缆的建模

Markus Clemens, Michael Günther, Timo Reis, Nathanael Skrepek

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

[44] arXiv:2509.02739 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On stable solutions to the Allen-Cahn equation with bounded energy density in $\mathbb{R}^4$ Show Chinese title

Title: 关于在$\mathbb{R}^4$中具有有界能量密度的 Allen-Cahn 方程的稳定解

Enric Florit-Simon, Joaquim Serra

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

[45] arXiv:2509.02740 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Nonunique tangent maps at isolated singularities of minimizing $p$-harmonic maps Show Chinese title

Title: 非最小化$p$-调和映射在孤立奇点处的非唯一切映射

Jonas Hirsch

Comments: 9 pages, Comments welcome

Subjects: Analysis of PDEs (math.AP)

[46] arXiv:2509.02742 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Overdetermined fractional Serrin problem Show Chinese title

Title: 超定分数Serrin问题

Nicola Garofalo, Dimiter Vassilev

Subjects: Analysis of PDEs (math.AP)

[47] arXiv:2509.02773 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Sampling methods for the inverse cavity scattering problem of biharmonic waves Show Chinese title

Title: 双调和波的逆腔散射问题的采样方法

Isaac Harris, Peijun Li, General Ozochiawaeze

Subjects: Analysis of PDEs (math.AP)

[48] arXiv:2509.02907 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Long time asymptotics for the KPII equation Show Chinese title

Title: KPII方程的长时间渐进行为

Derchyi Wu

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

[49] arXiv:2509.02954 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the geometry of measures with density bounds in a Hölder anisotropic setting Show Chinese title

Title: 在具有密度限制的霍尔德各向异性设置中的测度几何

Ignacio Tejeda

Comments: 49 pages

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

[50] arXiv:2509.02965 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: $L^2$-contraction and asymptotic stability of large shock for scalar viscous conservation laws Show Chinese title

Title: $L^2$-收缩和大激波在标量粘性守恒定律中的渐近稳定性

Alexis F. Vasseur, Yi Wang, Jian Zhang

Comments: 29 pages. Comments are welcome

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