Analysis & PDEs
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- Survey on Favard length and rectifiability
- Differentiability and Convexity of the Solution Maps for Fully Non-linear Parabolic HJB Equations
- Extremal Trudinger-Moser inequality associated with many point vortices with multi-intensities
- The divergence of continuously differentiable vector fields
- Boundary Layer Criterion for the Low Mach Number and Inviscid Limits in Compressible Fluid-Rigid Body Interaction
- Log-Concavity and Fundamental Gaps on Complex Projective Domains
- Gevrey Regularity for a Sum of Two Squares in Two Variables
- Compact linear combination of composition operators on weighted Bergman-Orlicz spaces induced by doubling weights
- Modular Existential Closedness
- Quantitative approximation theorem of neural operators for the Dirichlet-to-Neumann map
- Periodic dynamics of transonic shocks in Euler-Poisson flows
- The quermassintegral inequalities for k-convex spiral-star-shaped domains
- The metastability phenomen for a radiative gas model
- Unique direct-sum decompositions of infinite-dimensional unitary representations of the infinite dihedral group via real CMV matrices
- Ground states for Brezis-Nirenberg-type fractional elliptic systems with sublinear absorption and subcritical perturbation
- Multilinear extrapolation on Banach function spaces
- Revisiting the Schwarz Lemma for the Pentablock: Counterexamples and Sharp Interpolation Criteria
- Uniform Exponential Stability for Finite Energy Weak Solutions to the Barotropic Compressible Navier--Stokes Equations with Large Potential External Forces
- Quantitative Analysis of Second-Harmonic Generation in Plasmonic Nanowires: Symmetry Breaking and a Topological Defect
- A theoretically exact filtered back-propagationformula for single-time wave inversion
- A Numerical Method for the Fractional Semilinear Calderón Problem
- The norm reveals projections in the positive unit sphere of an arbitrary C*-algebra
- New thoughts on fractional Sobolev spaces
- Liouville Theorems for the Stationary Fractional Hall-Magnetohydrodynamic Equations
- The Serre closure of Banach spaces