arXiv math.AP Analysis of PDEs

Yasheng Lyu: $C^{1,\alpha}$ and $W^{2,1+\varepsilon}$ regularity for the $2$-Hessian equation https://arxiv.org/abs/2610.35839 https://arxiv.org/pdf/2610.35839 https://arxiv.org/html/2610.35839

Stefan Czimek: Characteristic gluing to extremal Kerr horizons and the third law of black hole thermodynamics in vacuum https://arxiv.org/abs/2610.35836 https://arxiv.org/pdf/2610.35836 https://arxiv.org/html/2610.35836

Robert Koirala: Parabolic Rectifiable Reifenberg for Measures https://arxiv.org/abs/2610.35809 https://arxiv.org/pdf/2610.35809 https://arxiv.org/html/2610.35809

Giacomo Colombo, Alessio Figalli: The generic structure of the singular set in the Stefan problem https://arxiv.org/abs/2610.35780 https://arxiv.org/pdf/2610.35780 https://arxiv.org/html/2610.35780

Alberto Bressan, Daniel Lee Harmon, Elio Marconi: On the Nash equilibrium for a model of traffic flow https://arxiv.org/abs/2610.35772 https://arxiv.org/pdf/2610.35772 https://arxiv.org/html/2610.35772

Rinaldo M. Colombo, Mauro Garavello, Claudia Nocita: Traveling Waves for Mixed Nonlocal-Local Systems of Conservation Laws on $\mathbb{S}^1$ https://arxiv.org/abs/2610.35771 https://arxiv.org/pdf/2610.35771 https://arxiv.org/html/2610.35771

Martina Conte, Sandesh Athni Hiremath, Christina Surulescu: Existence and uniqueness of solutions for a random PDE-ODE model describing glioma invasion and radiotherapy https://arxiv.org/abs/2610.35763 https://arxiv.org/pdf/2610.35763 https://arxiv.org/html/2610.35763

Pang-hung Chung, Dan Han: Unconditional scattering below the ground state for the three-dimensional focusing energy-critical generalized Hartree equation https://arxiv.org/abs/2610.35700 https://arxiv.org/pdf/2610.35700 https://arxiv.org/html/2610.35700

Yongheng Qin, Yuhua Sun, Jie Xiao: Sharp volume tests and entropy thresholds for quasilinear elliptic inequalities with gradient reactions https://arxiv.org/abs/2610.35688 https://arxiv.org/pdf/2610.35688 https://arxiv.org/html/2610.35688

Jingrui Niu, Shengquan Xiang: Asymptotic observable symmetry for spacetime observability of waves II: Smooth bounded domains https://arxiv.org/abs/2610.35610 https://arxiv.org/pdf/2610.35610 https://arxiv.org/html/2610.35610

Xishen Jin, Xi Zhang: Gradient estimates and Liouville theorems for exponentially harmonic functions https://arxiv.org/abs/2610.35571 https://arxiv.org/pdf/2610.35571 https://arxiv.org/html/2610.35571

Jingchen Hu, Heming Jiao: A Liouville Theorem for the Real k-Hessian Equation with a One-Sided Growth Condition https://arxiv.org/abs/2610.35565 https://arxiv.org/pdf/2610.35565 https://arxiv.org/html/2610.35565

Jean-Fran\c{c}ois Chassagneux, St\'ephane Cr\'epey, Gr\'egoire Loeper, Justin Ruelland: Differentiability and Convexity of the Solution Maps for Fully Non-linear Parabolic HJB Equations https://arxiv.org/abs/2610.35476 https://arxiv.org/pdf/2610.35476 https://arxiv.org/html/2610.35476

Takashi Suzuki, Yohei Toyota: Extremal Trudinger-Moser inequality associated with many point vortices with multi-intensities https://arxiv.org/abs/2610.35471 https://arxiv.org/pdf/2610.35471 https://arxiv.org/html/2610.35471

Thierry De Pauw: The divergence of continuously differentiable vector fields https://arxiv.org/abs/2610.35452 https://arxiv.org/pdf/2610.35452 https://arxiv.org/html/2610.35452

Kuntal Bhandari, \v{S}\'{a}rka Ne\v{c}asov\'{a}, Arnab Roy: Boundary Layer Criterion for the Low Mach Number and Inviscid Limits in Compressible Fluid-Rigid Body Interaction https://arxiv.org/abs/2610.35441 https://arxiv.org/pdf/2610.35441 https://arxiv.org/html/2610.35441

Kaixin Deng, Senping Luo: The role of density in phase transitions and new perspectives on theta functions https://arxiv.org/abs/2610.35437 https://arxiv.org/pdf/2610.35437 https://arxiv.org/html/2610.35437

Gunhee Cho: Log-Concavity and Fundamental Gaps on Complex Projective Domains https://arxiv.org/abs/2610.35431 https://arxiv.org/pdf/2610.35431 https://arxiv.org/html/2610.35431

Antonio Bove, Marco Mughetti: Gevrey Regularity for a Sum of Two Squares in Two Variables https://arxiv.org/abs/2610.35427 https://arxiv.org/pdf/2610.35427 https://arxiv.org/html/2610.35427

Pu-Yun Kow, Andrea Aspri, Elisa Francini, Jenn-Nan Wang: Quantitative approximation theorem of neural operators for the Dirichlet-to-Neumann map https://arxiv.org/abs/2610.35404 https://arxiv.org/pdf/2610.35404 https://arxiv.org/html/2610.35404

Peng Qu, Jiahui Wang: Periodic dynamics of transonic shocks in Euler-Poisson flows https://arxiv.org/abs/2610.35402 https://arxiv.org/pdf/2610.35402 https://arxiv.org/html/2610.35402

Christian Rohde, Adrian Viorel: The metastability phenomen for a radiative gas model https://arxiv.org/abs/2610.35387 https://arxiv.org/pdf/2610.35387 https://arxiv.org/html/2610.35387

Guanwei Chen: Ground states for Brezis-Nirenberg-type fractional elliptic systems with sublinear absorption and subcritical perturbation https://arxiv.org/abs/2610.35365 https://arxiv.org/pdf/2610.35365 https://arxiv.org/html/2610.35365

Xin Song, Chengfeng Xiong: Uniform Exponential Stability for Finite Energy Weak Solutions to the Barotropic Compressible Navier--Stokes Equations with Large Potential External Forces https://arxiv.org/abs/2610.35320 https://arxiv.org/pdf/2610.35320 https://arxiv.org/html/2610.35320

Qi Lei, Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng: Quantitative Analysis of Second-Harmonic Generation in Plasmonic Nanowires: Symmetry Breaking and a Topological Defect https://arxiv.org/abs/2610.35307 https://arxiv.org/pdf/2610.35307 https://arxiv.org/html/2610.35307

Markus Haltmeier: A theoretically exact filtered back-propagationformula for single-time wave inversion https://arxiv.org/abs/2610.35302 https://arxiv.org/pdf/2610.35302 https://arxiv.org/html/2610.35302

Lukang Sun: Regularization and Full Support for the CBO Equation with Measure Initial Data https://arxiv.org/abs/2610.35266 https://arxiv.org/pdf/2610.35266 https://arxiv.org/html/2610.35266

Albert Ai, Gaston Vergara-Hermosilla: Liouville Theorems for the Stationary Fractional Hall-Magnetohydrodynamic Equations https://arxiv.org/abs/2610.35260 https://arxiv.org/pdf/2610.35260 https://arxiv.org/html/2610.35260

Florian Gammer: On the symmetric Morrey problem in three dimensions https://arxiv.org/abs/2610.35216 https://arxiv.org/pdf/2610.35216 https://arxiv.org/html/2610.35216

Alice Molinari, Brian Block, Stephanie Stockar, Simona Sacone: A PDE-Based Model of Runner Flow in Mass Participation Events https://arxiv.org/abs/2610.35206 https://arxiv.org/pdf/2610.35206 https://arxiv.org/html/2610.35206

Greta Lamonaca (IDP, CEREMADE, UO), Idriss Mazari (CEREMADE), Gr{\'e}goire Nadin (IDP, CNRS): Uniqueness and attractiveness of stationary solutions in a harvesting mean field game https://arxiv.org/abs/2610.35202 https://arxiv.org/pdf/2610.35202 https://arxiv.org/html/2610.35202

Fan Cui, Huaiyu Jian, You Li, Yannan Liu: Global regularity for a class of degenerate/singular Monge-Ampere equations https://arxiv.org/abs/2610.35192 https://arxiv.org/pdf/2610.35192 https://arxiv.org/html/2610.35192

Valerio Corica, Francesco Santilli: Non-local Interfacial Energies in Grain Boundaries via Dirichlet-to-Neumann Map and Energetic scaling https://arxiv.org/abs/2610.35133 https://arxiv.org/pdf/2610.35133 https://arxiv.org/html/2610.35133

Zhiqiang Fan, Yuchen Wang, Youquan Zheng: Smooth stationary water waves with multiple vortex spikes https://arxiv.org/abs/2610.35129 https://arxiv.org/pdf/2610.35129 https://arxiv.org/html/2610.35129

Ze-Yu Ye, Xiao-Liu Wang: Type-II Singularities of Immersed Locally Convex Curves Evolving under Generalized Anisotropic Gage Area-Preserving Flows with Slow Curvature Speeds https://arxiv.org/abs/2610.35064 https://arxiv.org/pdf/2610.35064 https://arxiv.org/html/2610.35064

Christophe Cheverry (IRMAR), Rida Harb (UniCA), St{\'e}phane Junca (LJAD): Supercritical Geometric Optics for multidimensional scalar conservation laws https://arxiv.org/abs/2610.35034 https://arxiv.org/pdf/2610.35034 https://arxiv.org/html/2610.35034

Kai Yu, Zhiyuan Li, Zhidong Zhang: Inverse heat source problem from terminal data on a set of low Hausdorff dimension https://arxiv.org/abs/2610.35014 https://arxiv.org/pdf/2610.35014 https://arxiv.org/html/2610.35014

Antonio De Rosa, Robin Neumayer, Hui Yu: Singular set estimates in quasilinear Alt-Caffarelli problems https://arxiv.org/abs/2610.34986 https://arxiv.org/pdf/2610.34986 https://arxiv.org/html/2610.34986

Hong-Ge Chen, Yong Liu, Juncheng Wei, Wen Yang: On Brezis' open problem 2.4 https://arxiv.org/abs/2610.34979 https://arxiv.org/pdf/2610.34979 https://arxiv.org/html/2610.34979

Geng Chen, Faris El-Katri, Shoujun Huang: Development of singular surfaces and formation of generic singularities in 3D pressureless flows https://arxiv.org/abs/2610.34958 https://arxiv.org/pdf/2610.34958 https://arxiv.org/html/2610.34958

Mohamed Jleli, Bessem Samet: The Sharp Constant in the Second-Order Hydrogen Uncertainty Principle: Spectral Characterization and Quantitative Approximation https://arxiv.org/abs/2610.34916 https://arxiv.org/pdf/2610.34916 https://arxiv.org/html/2610.34916

Yuxi Han, Son N. T. Tu: Effective Hamiltonians in Perforated Domains: Inf-Max formula and Stability https://arxiv.org/abs/2610.34910 https://arxiv.org/pdf/2610.34910 https://arxiv.org/html/2610.34910

Zhile Li: Linear Stability, Inviscid Damping, and Scattering for Monotone Shear Flows in 2D Ideal MHD https://arxiv.org/abs/2610.34867 https://arxiv.org/pdf/2610.34867 https://arxiv.org/html/2610.34867

Mingjuan Chen, Minjie Shan: Endpoint well-posedness for the Boussinesq equation https://arxiv.org/abs/2610.34793 https://arxiv.org/pdf/2610.34793 https://arxiv.org/html/2610.34793

Mohammad El-Hindi: Designed short-time observations for rotational damping recovery in Timoshenko beams https://arxiv.org/abs/2610.34786 https://arxiv.org/pdf/2610.34786 https://arxiv.org/html/2610.34786

Cuiyang Liu, Wei Luo: Liouville theorems for the stationary Navier-Stokes equations under partial component conditions https://arxiv.org/abs/2610.34780 https://arxiv.org/pdf/2610.34780 https://arxiv.org/html/2610.34780

Shuwen Xue, Xiao-Qiang Zhao: Propagation dynamics of a parabolic-elliptic chemotaxis model in a time-periodic shifting environment https://arxiv.org/abs/2610.34753 https://arxiv.org/pdf/2610.34753 https://arxiv.org/html/2610.34753

Yongming Luo, Jiayu Zheng: Unconditional uniqueness for the cubic nonlinear Schr\"odinger equation in $H^{1/2}(\Bbb T^3)$ https://arxiv.org/abs/2610.34733 https://arxiv.org/pdf/2610.34733 https://arxiv.org/html/2610.34733

Yousuke Saga, Kazuhiro Takimoto: A Deterministic Game-Theoretic Approach to Convexity-Preserving Property and Finite-Time Extinction of Level Sets for Geometric Equations https://arxiv.org/abs/2610.34671 https://arxiv.org/pdf/2610.34671 https://arxiv.org/html/2610.34671

Angeliki Menegaki, Haoling Xiang: The Inhomogeneous Kinetic FPUT Equation near Rayleigh-Jeans Equilibria https://arxiv.org/abs/2610.34636 https://arxiv.org/pdf/2610.34636 https://arxiv.org/html/2610.34636