Analysis & PDEs
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- A starlike 3-dimensional counterexample to the hot spots conjecture
- Resolvent Expansions at All Spectral Thresholds for Three-Dimensional Discrete Schrödinger Operators
- Coupled reciprocal-sum inequalities for Neumann eigenvalues in rank-one symmetric spaces
- Dimension of the Green measure of skew products with dominant exponent in the fibers
- Finite volume quotients of bounded domains with piecewise smooth boundary
- Spectral truncations of SU(2) and the spectral localizer
- Free-Material Optimization in a Peridynamic World
- On blow-up for the supercritical defocusing nonlinear scalar wave equation
- Global well-posedness of the energy-critical nonlinear Schrödinger equation on the three-dimensional torus with additive Lévy noise
- Continuous and compact embeddings for a class of modular sequence spaces
- Asymptotic stability and Rayleigh-Taylor instability of stratified states for the three-dimensional rotating primitive equations with gravity
- The fence conjecture for convex projective polygons
- Weighted composition--differentiation operators on mixed-norm, derivative Hardy and F(p,q,s) spaces
- Sharp radial--angular mixed norm Fourier extension and global stability on spheres
- Sharp Lq estimate of adjoint problem and Pucci conjecture
- Isometries of Unit Spheres of SFS-Spaces and a Geometric Approach to Tingley's Problem
- Sharp Constants, Threshold, and Failure of Uncertainty Principles on Non-trivial Flat Finsler Manifolds
- On the Isomorphism of Semicircular Algebras
- Maximizing Reaction via Spatial Localization: A PDE-Constrained Variational Approach
- Normalized Orbit Frames and Essential Spectrum, II
- Markov maps and quasi-conformal deformations associated to geometrically finite Kleinian groups
- Weak type (1,1) estimates for Riesz transforms of elliptic operators and magnetic Schrödinger operators
- Sparse bounds for rough non-translation-invariant Calderón-Zygmund operators
- ℛ-boundedness of Riesz transforms and spectral multipliers of Schrödinger operators
- New Qualitative and Quantitative Estimates for Neumann Eigenvalues toward Pólya's Conjecture