Analysis & PDEs
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- Nondegeneracy of low-energy nodal solutions to the Yamabe equation
- Immersed Boundary Electrodiffusion in the Wasserstein Gradient Flow Formalism: Global Well-Posedness, Non-Equilibrium Thermodynamics, and Singular Asymptotics
- Spectral Convergence of the Discrete Steklov Problem
- Global strong solutions of the three-dimensional Cahn--Hilliard--Navier--Stokes system via finite-dimensional scalar forcing
- Some properties of completely convex functions
- Quantitative Stability for Anisotropic Gaussian Isoperimetric Inequality
- Generic properties of the Laplace spectrum and eigenfunctions
- Simple proofs of a Gagliardo--Nirenberg inequality and their extensions
- The full shadow of a polynomial II. Vanishing root masses and holes
- An infinite family of conservation laws for perfect compressible fluids
- Sharp convex body sparse bounds and quantitative matrix weighted estimates for Hilbert transforms along curves
- Heat trace and Riesz means with a large Robin parameter
- Sharp Nonlocal Poincaré Inequalities and Liminf Lower Bounds for Sobolev and BV Energies on Metric Measure Spaces
- Scaling Limits as Extensions of Continuous Bundles of C*-algebras
- Critical Robin Problems on Manifolds with Noncompact Boundary
- An Adian-Rabin theorem for quantum automorphism groups of graphs
- Nonuniqueness of the $2$D Euler Evolutions with L1∩ Lp Vorticity
- A Sharp Uniqueness-Nonuniqueness Dichotomy for Neutral Vortex Arrays in $2$D Euler Equations
- Sharp lifespan estimates for heat equations with Hörmander operators
- Global Well-Posedness of Landau Equation in Bounded Domains
- Differentiation and Shift Property Characterisations of the Group Fourier Transform on the Heisenberg Group
- On the existence of minimizers for the generalized liquid drop model
- Finite-rank rigidity and Nash-curve discreteness for correlation potentials
- Bilinear operators along variable curves
- Spectral isometries of unital C*-algebras