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1754 papers in math.AP · page 16
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Hyperbolic heat equation profiles remember initial mass
Sharp asymptotic behaviour of symmetric and non-symmetric solutions of the Heat Equation in the Hyperbolic Space
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mVPB kinetic solutions converge to fluid limit at optimal rate
Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the modified Vlasov-Poisson-Boltzmann System
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Modified kinetic plasma model converges to fluid equations at optimal rate
Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the modified Vlasov-Poisson-Boltzmann System
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Stopped processes unlock Itô formula for non-Hilbert SPDE spaces
Critical regularity and dissipativity for stochastic reaction-diffusion equations in Bochner spaces over spaces of continuous functions
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Three-wave interactions create coexisting stable and unstable standing waves
Three wave interaction solitons for an energy critical Schr\"odinger system
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Solutions exist for critical Ambrosetti-Prodi problems on Carnot groups
Critical Ambrosetti-Prodi type problems on Carnot groups
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Unique (p,k)-convex hypersurfaces solve quotient curvature equations
The existence of $(\mathbf{p}, k)$-convex hypersurfaces for a class of Hessian quotient type curvature equations
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Boltzmann equation has unique stable non-equilibrium state
The Boltzmann equation with non-isothermal Maxwell boundary conditions
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Global solutions exist for damped Ginzburg-Landau on any domain
Damped nonlinear Ginzburg-Landau equation with saturation. Part I. Existence of solutions on general domains
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Gamma-limits of manifold energies get cell formulas in Orlicz-Sobolev spaces
Homogenization and integral representation of energy functionals in manifold valued Orlicz-Sobolev spaces
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Gradients of solutions gain higher weak differentiability in Heisenberg equations
Higher Weak Differentiability to Mixed Local and Nonlocal Degenerate Elliptic Equations in the Heisenberg Group
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Flow method gives smooth solutions to complex Monge-Ampère Dirichlet problem
Some variational problems for the complex Monge--Amp{\`e}re operator
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Optimization finds no singularities in 3D Navier-Stokes flows
The Ladyzhenskaya-Prodi-Serrin Conditions and the Search for Extreme Behavior in 3D Navier-Stokes Flows
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Kinetic equations capture oscillations in viscoelasticity and barotropic flows
Derivation of effective kinetic equations describing oscillations in viscoelasticity and in compressible Navier-Stokes
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Free boundary singular sets have dimension at most n-5
Dimension Bound of Singular Set of One-Phase Free Boundary Problems in Spaces with Two-Sided Ricci Bound
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Harnack inequality holds for degenerate elliptic equations with L^p degeneracy
Harnack inequality for non-uniformly elliptic equations in non-divergence form
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Keller-Segel blow-up forces logarithmic mass growth at each singularity
Refined temporal asymptotics near blow-up points in the planar Keller-Segel system
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Convex domains' Neumann eigenvalues fall short of Kröger bound
Quantitative Kr\"{o}ger inequalities for Neumann eigenvalues of convex domains
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New non-product Calabi-Yau metrics on 3D cone smoothings
New examples of affine Calabi-Yau 3-folds with maximal volume growth
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Finite element scheme converges for anisotropic fractional porous medium
Finite element approximation of an anisotropic porous medium equation with fractional pressure
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Discrete sets force uniqueness for the fractional Laplacian
Uniqueness and non-uniqueness pairs for the fractional Laplacian
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Smooth 2D Euler states break single-valued vorticity relation
On the flexibility of 2D Euler steady states
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Smooth 2D Euler states can break stream-vorticity link
On the flexibility of 2D Euler steady states
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Homogenization holds for nonlocal operators with oscillating coefficients
Periodic and stochastic homogenization of general nonlocal operators with oscillating coefficients
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One far-field pattern stably identifies generalized impedance polytopes
Stably Determining a generalised Impedance Obstacle from a Single Far-Field Pattern
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Reactive particle system converges to nonlinear free-boundary limit
A free boundary problem for the mean-field limit of diffusing particles with nonlinear boundary reactivity
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Reactive diffusions converge to a moving-boundary PDE
A free boundary problem for the mean-field limit of diffusing particles with nonlinear boundary reactivity
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Critical Sobolev index set for Schrödinger convergence on power curves
On the Pointwise Convergence of Solutions to the Schr\"odinger Equation Along Certain Highly Tangential Curves
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Transport term drives long-time electroporation
Long-time behaviour of a nonlocal model for electroporation
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The paper proves global-in-time decay estimates for the multi-phase Muskat problem when…
Global in Time Estimates for Multi-phase Muskat Problem
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No solutions exist at L2-critical exponent for mass-constrained fractional Choquard
Normalized solutions for a class of fractional Choquard equations with the HLS lower critical term and a nonlocal perturbation
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Weiss formula extends to variable-coefficient functionals
On a Weiss-type Almost Monotonicity Formula
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Non-local phase models split into three homogenization regimes by scale ratio
Homogenization in one-dimensional higher-order non-local models of phase transitions
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Quadratic stability for bridge minimizers when T differs from Escobar value
A note on the Sobolev--Escobar bridge inequality
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Unique solutions exist for doubly nonlinear diffusion on graphs
Doubly Nonlinear Diffusion Equations on Metric Graphs
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Closed sets are parabolic weakly porous iff powered distance functions are A1 weights
Parabolic weak porosity and parabolic Muckenhoupt distance functions
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Finite Fourier controls steer KdV-Schrödinger states in small time
Bilinear controllability for the linear KdV-Schr{\"o}dinger equation
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Rod equation norm inflates from small smooth data in H^s
Norm inflation and low-regularity ill-posedness for the rod equation
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Submanifold geometry controls existence for doubly critical elliptic PDE
A Doubly Critical Elliptic Problem with Submanifold Singularities
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Nitsche method gives optimal errors for Stokes-Poisson-Boltzmann with slip
Nitsche method for the Stokes-Poisson-Boltzmann equation with Navier slip boundary condition
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Single measurement uniquely fixes shear wave speed in viscoelastic tissues
Uniqueness of dynamic elastography for isotropic standard linear solid viscoelastic media
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Comparison principle proven for subelliptic PDEs on manifolds
Comparison theorems for weak solutions of nonlinear maximally sub-elliptic PDEs
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Parabolic uniqueness estimate interpolates between two bounds
Quantitative uniqueness for parabolic equations with H\"older potentials
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Narrow gully wildfire model reduces to equation along its axis
Wildfire in a Narrow Gully: A Geometric Reduction Approach
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Navier-Stokes truncation gets N^{4+ε} orbit-triad bound
Orbit-Level Transfer Matrix for the 3D Fourier-Galerkin Navier-Stokes System on the Periodic Torus: Explicit Orbit-Triad Incidence Bounds and Deterministic Row-Sum Estimates
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Small data triggers norm inflation on trapped AdS black holes
Weakly turbulent dynamics on Schwarzschild-AdS black hole spacetimes
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Ideal MHD admits non-conserving weak solutions below C^{1/5}
$C^{1/5^{-}}$ Convex Integration Solutions of Ideal MHD
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t-SNE converges to non-convex continuum limit with density penalty
On the continuum limit of t-SNE for data visualization
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Convex domains obey sharp Makai bounds on Poincaré-Sobolev constants
Sharp Makai-type inequalities for the best Poincar\'e-Sobolev constants
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Maximum bounds for heat solutions hold under Morrey drift
On the heat equation with singular drift