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58.9k resultsmath.AP2026
A computer-assisted counterexample to the planar Pompeiu and Schiffer conjectures
Matthew J. Colbrook, George Stepaniants
math.AP2026
The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure
Thomas Allen, Ella Kim, Jonathan Nunes +2
math.AP2026
Asymptotic Flocking Behavior in Particle and Kinetic Systems with biological Memory Term
Yishuo Wang, Yawei Wei
math.AP2026
Smooth Failure of Boundary Unique Continuation for Harmonic Functions
Guolin Qin, Weicheng Zhan
math.AP2026
On Weighted Local Morrey-type and Complementary Local Morrey-Type Spaces
Amiran Gogatishvili, Yoshihiro Sawano, TuÄçe Ãnver
math.AP2026
The Burgers' Equation in the Hermite-Sobolev Spaces
Suprio Bhar, Rajeev Bhaskaran, Barun Sarkar
math.AP2026
Exponential mixing for Korteweg-de Vries equation with localized noise
Yuxuan Chen, Shengquan Xiang, Zhifei Zhang +1
math.AP2026
Generalized solution and Weak-Strong uniqueness for a barotropic Euler-Riesz system
Nilasis Chaudhuri
math.AP2026
The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem
Xiong Ge, Yang Kaiwen
math.AP2026
Unified theory for regularity persistence of vortex patch boundaries
Marc Magaña
math.AP2026
Balance between degenerate elliptic operators and coercive Hamiltonians
Isabeau Birindelli, Giulio Galise, Hitoshi Ishii
math.AP2026
The narrow escape problem in arbitrary dimension
Louis Carillo, Tony Lelièvre, Thomas Normand +2
math.AP2026
Linear non-divergence parabolic equations in non-cylindrical space-time sets
Luan Hoang, Akif Ibragimov
math.AP2026
The critical exponent for the three-dimensional semilinear wave equation with strong damping
Wenhui Chen
math.AP2026
Equilibration versus Localization in a Diffusion-Relaxation System
Aseel AlNajjar, Hoyoun Kim, Athanasios Tzavaras
math.AP2026
Strong ill-posedness for the MHD system in the supercritical regime: inviscid and viscous
Zhenyu Wan, Weikui Ye, Zhaoyang Yin
math.AP2026
Pointwise endpoint limits for nonlocal operators
Dinghuai Wang
math.AP2026
Spectrum analysis and optimal time decay rates of a kinetic-fluid-Poisson system
Junhao Chen, Hailiang Li, Mingying Zhong
math.AP2026
Admissibility criteria for convex integration fan solutions and contact discontinuities in the Euler equation
Heiko Gimperlein
math.AP2026
Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications
Son N. T. Tu, Jianlu Zhang
math.AP2026
On countable subsets of solutions of nonlinear higher-order ODEs and elliptic PDEs with indefinite operators
Pablo Alvarez-Caudevilla, Jonathan D. Ev ans, Victor A. Galaktionov
math.AP2026
Failure of Fixed-Profile Modified Scattering at the Pure $L^2$ Endpoint for the 1D Defocusing Cubic NLS
Xi Chen
math.AP2026
On the regularity theory for mixed local and nonlocal weighted quasilinear elliptic equations
Sanjit Biswas, Prashanta Garain
math.AP2026
Talbot effect for the periodic Benjamin--Ono equation
Xi Chen