Analysis & PDEs
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- Persistence of C2 regularity for aggregation patches
- Human Variations on AI Mathematics
- Global Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation
- Lower bounds for Riesz interaction functionals
- The Dirichlet problem for quaternionic Monge--Ampère equations on flat quaternionic quotients
- Neumann problem for Hessian equation and geometric inequalities in hyperbolic space
- Unique Hahn-Banach extensions in Bochner Lp spaces
- A Note on Fractional Sobolev inequalities revisited
- Global Well-posedness of Incompressible MHD System with Density-dependent Viscosity in ℝ2
- Any uniformly rectifiable set is contained in a set with Poincaré inequality
- Global attractor for weakly damped nonlinear parametric Klein-Gordon Schr{ö}dinger system
- Failure of bounded ∂̅-solvability on pseudoconvex domains of finite type
- C1-estimates in nonlocal parabolic problems
- Rigidity of the Peres-Virág class
- The kinetic Kato square root problem
- The Nuclear Dimension of Extensions and Graph C*-Algebras
- Joint Moments of Bilinear Resolvents
- Singular evolution of Gaussian measures under energy-critical and supercritical nonlinear Schrödinger equations
- Perturbation Analysis of Gravitational Collapse of Gaseous Stars in the Pressureless Euler-Poisson System
- On Higher Order Elliptic Differential Operators
- Limiting properties of Hermitian-Einstein metrics under variation of the Kähler class
- Stochastic Homogenization of Schrödinger Equations with Exponentially Mixing Sub-Gaussian Potentials
- Symmetry, uniqueness and nondegeneracy of positive solutions of the Choquard equation
- On blow-up for the cut-off Boltzmann equation with very hard potentials
- Operator Fejér--Riesz Theorems with Gaps and Degree Bounds