Analysis of PDEs

Authors and titles for May 2025

[1] arXiv:2505.00148 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Existence of variational solutions to doubly nonlinear systems in nondecreasing domains Show Chinese title

Title: 非减区域上双重非线性系统变分解的存在性

Leah Schätzler, Christoph Scheven, Jarkko Siltakoski, Calvin Stanko

Subjects: Analysis of PDEs (math.AP)

[2] arXiv:2505.00203 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Nonexistence of Solutions to classes of parabolic inequalities in the Riemannian setting Show Chinese title

Title: 黎曼流形上一类抛物不等式解的非存在性

Dorothea-Enrica von Criegern, Gabriele Grillo, Dario Monticelli

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

[3] arXiv:2505.00267 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Local classical solutions of a kinetic equation for three waves interactions in presence of a Dirac measure at the origin Show Chinese title

Title: 具有原点处狄拉克测度的三波相互作用动能方程的经典解

Miguel Escobedo

Comments: 73 pages

Subjects: Analysis of PDEs (math.AP)

[4] arXiv:2505.00391 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: A Nonlinear Logistic Model for Age-Structured Populations: Analysis of Long-Term Dynamics and Equilibria Show Chinese title

Title: 非线性Logistic模型在年龄结构种群中的应用：长期动态与平衡分析

Dragos-Patru Covei

Comments: 15 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[5] arXiv:2505.00417 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Gravity water waves over constant vorticity flows: From laminar flows to touching waves Show Chinese title

Title: 常涡度流上的重力水波：从层流到接触波

Francisco Gonçalves

Comments: 16 pages

Subjects: Analysis of PDEs (math.AP)

[6] arXiv:2505.00420 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Uniqueness Domains for ${\bf L}^\infty$ Solutions of $2 \times 2$ Hyperbolic Conservation Laws Show Chinese title

Title: 关于${\bf L}^\infty$的唯一性域和$2 \times 2$的双曲守恒律解

Alberto Bressan, Elio Marconi, Ganesh Vaidya

Comments: 24 pages, 12 figures

Subjects: Analysis of PDEs (math.AP)

[7] arXiv:2505.00446 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity Show Chinese title

Title: 变指数记忆模型多尺度粘弹性演化方程的分析

Yiqun Li, Xiangcheng Zheng

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

[8] arXiv:2505.00589 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity Show Chinese title

Title: 非线性薛定谔方程的同质化处理，带有散布非线性

Benjamin Harrop-Griffiths, Maria Ntekoume

Comments: 33 pages

Subjects: Analysis of PDEs (math.AP)

[9] arXiv:2505.00852 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Superlinear free-discontinuity models: relaxation and phase field approximation Show Chinese title

Title: 超线性自由不连续模型：松弛和相场逼近

Sergio Conti, Matteo Focardi, Flaviana Iurlano

Subjects: Analysis of PDEs (math.AP)

[10] arXiv:2505.00867 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Dispersive analysis for one-dimensional charge transfer models Show Chinese title

Title: 一维电荷转移模型的色散分析

Gong Chen, Abdon Moutinho

Comments: Version 2, Weigthed estimate on derivate added (Appendix C),, comments are welcome. Keywords- Charge transfer model, Dispersive Estimates, Schrodinger equation, Linear Theory, Asymptotic completeness, one-dimensional model

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

[11] arXiv:2505.00884 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Strichartz estimates for the Schrödinger equation on Zoll manifolds Show Chinese title

Title: Zoll流形上薛定谔方程的Strichartz估计

Xiaoqi Huang, Christopher D. Sogge

Comments: arXiv admin note: text overlap with arXiv:2404.13734

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

[12] arXiv:2505.00885 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Liouville type theorem for double Beltrami solutions of the Hall-MHD system in $\Bbb R^3$ Show Chinese title

Title: 刘维尔型定理对于Hall-MHD系统在$\Bbb R^3$中的双Beltrami解

Dongho Chae

Comments: There is a calculation mistake, and the result is not yet valid

Subjects: Analysis of PDEs (math.AP)

[13] arXiv:2505.00984 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: A regularity theory for evolution equations with space-time anisotropic non-local operators in mixed-norm Sobolev spaces Show Chinese title

Title: 关于混合范数Sobole夫空间中具有时空各向异性非局部算子的演化方程的正则性理论

Jae-Hwan Choi, Jaehoon Kang, Daehan Park, Jinsol Seo

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

[14] arXiv:2505.00992 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Dual variational methods for time-harmonic nonlinear Maxwell's equations Show Chinese title

Title: 时谐非线性麦克斯韦方程的对偶变分方法

Rainer Mandel

Subjects: Analysis of PDEs (math.AP)

[15] arXiv:2505.01066 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Uniqueness in the near isotropic Lp dual Minkowski problem Show Chinese title

Title: 关于近各向同性的Lp偶对偶Minkowski问题的唯一性

Karoly J. Boroczky, Shibing Chen, Weiru Liu, Christos Saroglou

Subjects: Analysis of PDEs (math.AP)

[16] arXiv:2505.01157 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Stochastic Hartree NLS in 3d coming from a Many-Body Quantum System with White Noise Potential Show Chinese title

Title: 三维随机哈特里非线性薛定谔方程来自具有白噪声势的多体量子系统

Francesco Carlo De Vecchi, Xiaohao Ji, Immanuel Zachhuber

Comments: 66 pages

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

[17] arXiv:2505.01248 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Almost Global Solutions of Kirchhoff Equation Show Chinese title

Title: Kirchhoff方程的几乎全局解

Jianjun Liu, Duohui Xiang

Subjects: Analysis of PDEs (math.AP)

[18] arXiv:2505.01354 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Gradient estimates for an orthotropic nonlinear diffusion equation in the Heisenberg group Show Chinese title

Title: Heisenberg群中各向异性非线性扩散方程的梯度估计

Michele Circelli

Subjects: Analysis of PDEs (math.AP)

[19] arXiv:2505.01377 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Representation formulas and large time behavior for solutions to some nonconvex Hamilton-Jacobi equations Show Chinese title

Title: 表示公式及某些非凸Hamilton-Jacobi方程解的长时间行为

Hung Vinh Tran

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[20] arXiv:2505.01392 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The DC Kerr Effect in Nonlinear Optics Show Chinese title

Title: 非线性光学中的直流克尔效应

Nikolas Eptaminitakis, Plamen Stefanov

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

[21] arXiv:2505.01534 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Fredholm properties of singular elliptic operators arising in the study of point defects Show Chinese title

Title: 弗雷德霍姆性质的奇异椭圆算子在点缺陷研究中的出现

Gabriela Jaramillo

Comments: 24 pages

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

[22] arXiv:2505.01573 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Boundedness of pseudo-differential operators on the torus revisited. II Show Chinese title

Title: 具界性伪微分算子在环面上的重新审视。 II

Duván Cardona, Manuel Alejandro Martínez

Comments: 22 pages

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

[23] arXiv:2505.01646 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Exceptional point enhanced small particle detection in systems of subwavelength resonators Show Chinese title

Title: 亚波长谐振器系统中例外点增强的小颗粒检测

Jinghao Cao, Jörg Nick

Comments: 11 pages, 5 figures

Subjects: Analysis of PDEs (math.AP)

[24] arXiv:2505.01748 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Steady three-dimensional rotational flows: existence via Kato's approach to locally coercive problems Show Chinese title

Title: 定常三维旋转流：通过加藤处理局部强制问题的存在性

Boris Buffoni, Eric Séré

Subjects: Analysis of PDEs (math.AP)

[25] arXiv:2505.01791 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Shape Gradient Based Non-Parametric Mumford-Shah Segmentation Without Level Sets Show Chinese title

Title: 基于形状梯度的非参数Mumford-Shah分割而不使用水平集

Shafeequdheen P, Jyotiranjan Nayak, Vijayakrishna Rowthu

Comments: 13 pages, 26 Images

Subjects: Analysis of PDEs (math.AP)

[26] arXiv:2505.01889 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Global hypoellipticity for involutive systems on non-compact manifolds Show Chinese title

Title: 非紧流形上对合系统的全局亚椭圆性

Sandro Coriasco, Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Pedro Meyer Tokoro

Comments: 22 pages

Subjects: Analysis of PDEs (math.AP)

[27] arXiv:2505.01908 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: New characterization of Hardy-Fofana spaces and temperature equation Show Chinese title

Title: Hardy-Fofana空间的新刻划与温度方程

Martial Agbly Dakoury, Justin Feuto

Comments: 13 pages

Subjects: Analysis of PDEs (math.AP)

[28] arXiv:2505.02028 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Reconstruction of a vector field and a symmetric $2$-tensor field from the moment ray transforms in $\mathbb{R}^2$ Show Chinese title

Title: 从 $\mathbb{R}^2$ 中的矩射线变换重构矢量场和对称2-张量场

Rahul Bhardwaj, Karishman B. Solanki

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

[29] arXiv:2505.02036 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Bound states of nonlinear Dirac equation on noncompact quantum graphs with localized nonlinearities Show Chinese title

Title: 非紧致量子图上具有局部非线性的非线性狄拉克方程的束缚态

Zhipeng Yang, Ling Zhu

Comments: 15 pages, 3 figures. arXiv admin note: text overlap with arXiv:1807.06937 by other authors

Subjects: Analysis of PDEs (math.AP)

[30] arXiv:2505.02042 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Standing waves with prescribed mass for biharmonic NLS with positive dispersion and Sobolev critical exponent Show Chinese title

Title: 具有正色散和 Sobolev 临界指数的双谐波 NLS 的指定质量驻波

Juntao Sun, Shuai Yao, He Zhang

Subjects: Analysis of PDEs (math.AP)

[31] arXiv:2505.02065 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Multiple solutions for elliptic equations driven by higher order fractional Laplacian Show Chinese title

Title: 高阶分数拉普拉斯算子驱动的椭圆方程的多重解

Fuwei Cheng, Xifeng Su, Jiwen Zhang

Comments: 22 pages. To appear in Communications on Pure and Applied Analysis

Subjects: Analysis of PDEs (math.AP)

[32] arXiv:2505.02070 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Oscillatory approximations and maximum entropy principle for the Euler system of gas dynamics Show Chinese title

Title: 欧拉气体动力学系统中的振荡逼近和最大熵原理

Eduard Feireisl, Mária Lukáčová-Medvid'ová, Changsheng Yu

Subjects: Analysis of PDEs (math.AP)

[33] arXiv:2505.02141 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Ground states to a quasilinear Schrödinger equation with Berestycki-Lions type nonlinearities Show Chinese title

Title: 具有伯雷斯特基-利翁类型非线性的拟线性薛定谔方程的基态

Xianyong Yang, Yue Jia

Comments: I find some mistakes including this paper, so we decide to withdraw the paper "Ground states to a quasilinear Schrodinger equation with Berestycki-Lions type nonlinearities". Thank you!

Subjects: Analysis of PDEs (math.AP)

[34] arXiv:2505.02155 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Boundary value problem of magnetically insulated diode: existence of solutions and complex bifurcation Show Chinese title

Title: 磁绝缘二极管边值问题：解的存在性与复杂分支

Denis Sidorov, Alexander Sinitsyn, David Leguizamon, Liguo Wang

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

[35] arXiv:2505.02295 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Landau damping in mixed hyperbolic-kinetic systems and thick sprays Show Chinese title

Title: 混合双曲动力学系统和厚喷雾中的朗道阻尼

D. Bian, B. Després, V. Fournet, E. Grenier

Subjects: Analysis of PDEs (math.AP)

[36] arXiv:2505.02348 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Inverse problem to determine simultaneously several scalar parameters and a time-dependent source term in a superdiffusion equation involving a multiterm fractional Laplacian Show Chinese title

Title: 反问题：同时确定多术语分数Laplacian超扩散方程中的若干标量参数和时间依赖源项

Hany Gerges, Jaan Janno

Subjects: Analysis of PDEs (math.AP)

[37] arXiv:2505.02438 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: SOPTX: A High-Performance Multi-Backend Framework for Topology Optimization Show Chinese title

Title: SOPTX：一种高性能的多后端拓扑优化框架

Liang He, Huayi Wei, Tian Tian

Comments: 40 pages, 19 figures, not yet submitted for publication

Subjects: Analysis of PDEs (math.AP)

[38] arXiv:2505.02617 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Estimates of variational eigenvalues on metric measure spaces Show Chinese title

Title: 度量测度空间上的变分特征值估计

Prashanta Garain, Alexander Ukhlov

Comments: 10 pages

Subjects: Analysis of PDEs (math.AP)

[39] arXiv:2505.02757 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Estimates for the first and second Steklov-Dirichlet eigenvalues Show Chinese title

Title: 第一和第二 Steklov-Dirichlet 特征值的估计

Rossano Sannipoli

Comments: 20 pages

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

[40] arXiv:2505.02758 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Sharp stability of the Heisenberg Uncertainty Principle: Second-Order and Curl-Free Field Cases Show Chinese title

Title: 海森堡不确定性原理的尖锐稳定性：二阶和无旋场情形

Anh Xuan Do, Nguyen Lam, Guozhen Lu, Lingxiao Zhang

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

[41] arXiv:2505.02992 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Show Chinese title

Title: 关于具有变背景状态和非局部速度对齐的欧拉-泊松方程

Kunhui Luan, Changhui Tan, Qiyu Wu

Comments: 39 pages, 5 figures

Subjects: Analysis of PDEs (math.AP)

[42] arXiv:2505.03043 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Numerical study of a Transmission Problem in Elasticity with kind damping Show Chinese title

Title: 弹性传波问题中一类阻尼的数值研究

Kais Ammari, Vilmos Komornik, Mauricio Sepúlveda, Octavio Vera

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

[43] arXiv:2505.03080 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Global well-posedness of the elastic-viscous-plastic sea-ice model with the inviscid Voigt-regularisation Show Chinese title

Title: 弹性和粘性塑性海冰模型的全局适定性以及无粘性Voigt正则化

Daniel W. Boutros, Xin Liu, Marita Thomas, Edriss S. Titi

Subjects: Analysis of PDEs (math.AP)

[44] arXiv:2505.03091 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Stability analysis for localized solutions in PDEs and nonlocal equations on $\mathbb{R}^m$ Show Chinese title

Title: $\mathbb{R}^m$ 上偏微分方程和非局部方程局部解的稳定性分析

Matthieu Cadiot

Comments: 30 pages

Subjects: Analysis of PDEs (math.AP)

[45] arXiv:2505.03124 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Threshold solutions for the energy-critical NLS system with quadratic interaction Show Chinese title

Title: 能量临界NLS系统带有二次相互作用的阈值解

Alex H. Ardila, Liliana Cely, Fanfei Meng

Comments: 36 pages, comments are welcome!

Subjects: Analysis of PDEs (math.AP)

[46] arXiv:2505.03137 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Regular boundary points and the Dirichlet problem for elliptic equations in double divergence form Show Chinese title

Title: 正则边界点和双散度形式椭圆方程的狄利克雷问题

Hongjie Dong, Dong-ha Kim, Seick Kim

Comments: arXiv admin note: text overlap with arXiv:2402.17948, arXiv:2504.00190

Subjects: Analysis of PDEs (math.AP)

[47] arXiv:2505.03231 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Weighted Eigenvalue Problem for a Class of Hessian Equations Show Chinese title

Title: 对于一类Hessian方程的加权特征值问题

Rongxun He, Genggeng Huang

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[48] arXiv:2505.03245 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the Hessian Hardy-Sobolev Inequality and Related Variational Problems Show Chinese title

Title: 关于Hessian Hardy-Sobolev不等式及相关变分问题

Rongxun He, Wei Ke

Comments: 26 pages

Subjects: Analysis of PDEs (math.AP)

[49] arXiv:2505.03268 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Traveling waves in periodic metric graphs via spatial dynamics Show Chinese title

Title: 周期性度量图中的行波通过空间动力学

Stefan Le Coz (IMT, CIMI), Dmitry E. Pelinovsky, Guido Schneider

Subjects: Analysis of PDEs (math.AP)

[50] arXiv:2505.03271 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Fully discrete backward error analysis for the midpoint rule applied to the nonlinear Schroedinger equation Show Chinese title

Title: 非线性薛定谔方程中点法则全离散后向误差分析

Erwan Faou (IRMAR, Inria, MINGUS), Georg Maierhofer (DAMTP), Katharina Schratz (LJLL (UMR\_7598), SU)

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