Analysis & PDEs
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- Global Existence and Large-Time Behavior of Strong Solutions to the Two-Dimensional Compressible Nematic Liquid Crystal Flows with Large Initial Data and Vacuum
- Sharp degree bound for rational proper maps from 𝔹2 to 𝔹4
- Area operators on Hardy spaces of Dirichlet series II: counterexamples and compactness criteria
- Rigidity and volume pinching for the sharp gradient estimate in positive Ricci curvature
- The nonlocal attraction-repulsion transport equation with power kernels
- The local Cauchy problem for hyperbolic systems of equations with fractional dissipation
- Regularity for degenerate or singular fully nonlinear elliptic equations with Hamiltonian terms and applications
- Fresnel scattering for open waveguide networks
- Kinetic SDEs and kinetic Fokker-Planck equations with critical Morrey-type drifts, and local blow-ups
- (Sharp arithmetic) localization beyond transversality
- Asymptotic analysis of the confluent Dotsenko-Fateev system
- Semiclassical Moser--Trudinger type inequalities for orthonormal families in ℝ2
- Limit cycles govern wave energy accumulation in space-time-varying materials
- Regularity theory for lattice based harmonic maps and low temperature Gibbs measures of the spin-O(N) model
- Long-time asymptotics for the focusing coupled Kundu-Eckhaus equation
- Quantum integrals II: Dominated and almost uniform convergence
- Bouncing-ball modes in ergodic billiards
- A general proof of integer Rényi QNEC
- The Korteweg-de Vries limit for the global dynamics of the Toda lattice
- Fatou Components of Attracting Skew Products: From Polynomial Classification to Transcendental Complexity
- Minimal time for heat observability on almost-Riemannian surfaces
- Nonlinear Lebesgue spaces: Curves and geometry
- Algebra properties for Besov spaces on unimodular Lie groups
- On the Moduli Difference of Initial Logarithmic and Inverse Logarithmic Coefficients of Ma-Minda Convex Functions
- (α,c)-spaceability of continuous functions with prescribed Hausdorff graph dimension