Analysis & PDEs
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- Second order Heisenberg Uncertainty Principle for solenoidal fields: sharp constants, optimizers and sharp stability
- Spectral unions of intervals with few rational relation tile the real line
- Fourier analysis on a class of Schwartz spaces and applications
- A Preconditioned Semismooth Newton Method for Box-Constrained Elliptic Optimal Control Problems with Random Coefficients
- Ad-conditions for higher-order recurrences: Dunkl and matrix-valued settings
- Blowdowns along Ricci flow in dimension four
- Partial C2,α and W2, VMO regularity for nondifferentiable fully nonlinear elliptic equations and Isaacs equations
- Optimal Condition Numbers in Low-Rank Positive Semidefinite Matrix Sensing
- Dirichlet symbols and the nonlinear wave equation
- The Calderón problem for near-Euclidean metrics
- The partial data Calderón problem in dimension three
- Nonlinear adiabatic theorem for the Gross-Pitaevskii equation
- Uniqueness and radial symmetry of magnetic skyrmions
- Half-space polynuclear growth: KPZ universality
- Cosmological rigidity via p-harmonic temporal functions
- Perfectness of partial Christoffel transforms of Nikishin systems
- Two-scale estimates for limit-periodic Schrödinger operators
- A Game of Scales
- Local and global conservation laws of partial differential equations on moving domains in three dimensions
- Nonlinear kink modes for nonisentropic supersonic vortex sheets
- Far-field Layers of Steady State for Viscous and Heat-conductive Gas
- On the Finite-Time Singularities of Point-Vortex Systems I: The Half-Plane
- Spectral Theory and Continuum Norm Resolvent Convergence of a One-Sided Discrete Dirac-Type Operator
- On the unconstrained Allen-Cahn system and its Cahn-Hilliard limit
- Quantum Diffusion and the Block-Size Crossover in the Block Anderson Model