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1754 papers in math.AP · page 5
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Non-local Robin conditions make heat semigroups ultracontractive
Ultracontractivity of Heat semigroups in $\mathrm{L}^{2}\left( \Omega \right)$ with non-local Robin boundary conditions using Nash's inequality
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General Robin boundary operators yield ultracontractive heat flows
Ultracontractivity of Heat semigroups in $\mathrm{L}^{2}\left( \Omega \right)$ with non-local Robin boundary conditions using Nash's inequality
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Nonlocal p-Laplace solutions converge to local limits
Optimal stability of complement value problems for p-L\'evy operators
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Combustion nonlinearity refines porous-medium spreading speed
Refined estimates of the propagation speed in porous medium equation of combustion type
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Galerkin linear elements deliver sharp rates for discrete fractional Sobolev constant
Galerkin Approximation of the Fractional Sobolev Constant
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Existence proved for fractional pseudo-parabolic equation with variable coefficient
Forward and inverse problems for a time-fractional pseudo-parabolic equation with variable coefficients
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High-rank PINNs generalize despite differential operators
Unified generalization analysis for physics informed neural networks
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Underdamped Langevin accelerates Wasserstein flows to Nesterov rate
Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies
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Underdamped dynamics accelerate Wasserstein free-energy minimization
Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies
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Underdamped Langevin achieves Nesterov acceleration in Wasserstein space
Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies
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Underdamped Langevin dynamics accelerate Wasserstein minimization
Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies
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Small data yields global decaying solutions for supercritical gSQG
Asymptotic study of supercritical generalized SQG equations in critical Sobolev spaces
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Exact conservation excludes dissipative Euler solutions
Exact conservation and the Onsager threshold: a discrete exterior calculus theory for incompressible Navier-Stokes Equations
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Exact conservation blocks dissipative Euler solutions
Exact conservation and the Onsager threshold: a discrete exterior calculus theory for incompressible Navier-Stokes Equations
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Exact conservation blocks dissipative Euler solutions
Exact conservation and the Onsager threshold: a discrete exterior calculus theory for incompressible Navier-Stokes Equations
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Any ergodic solution selectable by discount and potential approximation
A new selection problem for degenerate viscous Hamilton-Jacobi equations
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Boltzmann half-space solutions decay like 2D heat flow near equilibrium
Half-space problem on the Boltzmann equation with zero Mach number at infinity
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Polynomial stability pins down exact forcing regularity for periodic solutions
From Polynomial Stability to Periodic Well-posedness in Partially Dissipative Systems
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Simulations show exponential mixing for passive vector fields
Mixing and Small-Scale Formation in a Passive Divergence-Free Vector Field
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Classical analysis proof of 2D ABP inequality avoids convexity
A Classical Analysis Counterpart of Viterbo's Symplectic Geometry Proof of ABP in the Plane
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Unique solutions for degenerate mean field games in Hilbert spaces
Mean Field Games in Hilbert Spaces with Degenerate Diffusion: A Viscosity Solution Approach
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Gaps in torus laminations contain non-minimizing minimal surfaces
A min-max gap characterization of minimal foliations on the torus
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New sampling method sizes clamped obstacles from one wave
Novel implementation of the extended sampling method for inverse biharmonic scattering
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Conformable Laplace transform solves diffusion equations
On solution of Diffusion Equation using Conformable Laplace Transform
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ISS open problem resolved via structured maximal regularity
Implications of structured continuous maximal regularity
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Stability bounds enable point-source gas leak recovery
Leak localisation with a measure source convection-diffusion model
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Fractional p-Laplacian derivative yields logarithmic nonlocal operator
On the fractional logarithmic $p$-Laplacian
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Unique weak solution exists near homogenized limit for small parameters
An H-convergence-based implicit function theorem for homogenization of nonlinear non-smooth elliptic systems
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Variational principle yields reduced bubbly flow models
A variational approach to the derivation of reduced models for bubbly flows
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Transform enables blow-up criterion for semilinear heat equation
On the existence and nonexistence of global solutions of the semilinear heat equation
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Degenerate SIR model with policy boundaries has unique solutions
A degenerate reaction-diffusion SIR model in interconnected regions
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Branched transport bounds Ahlfors-regular measures to dimension 8/5
Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models
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Integral solution stabilizes finite flow model
The unified transform for Burgers' equation: Application to unsaturated flow in finite interval
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Regularization yields global strong solutions for atmospheric phase transition
Global Existence and Uniqueness of Strong Solutions for a Phase Transition Model in Atmospheric Dynamics
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NLS solutions depend continuously on nonlinearity power
Dependence of the nonlinear Schr{\"o}dinger flow upon the nonlinearity
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Minimal resistance profiles end at slope 1/sqrt(3) with exponential density
The Newton's problem assuming non-constant density of the fluid
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Moving observations yield Cesàro observability for PDEs
Moving localized observations and Ces{\`a}ro asymptotic observability for conservative PDEs
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Slow fractional Schrödinger solution converges to averaged effective equation
Averaging principle for a slow-fast stochastic nonlinear fractional Schr\"odinger equation
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Spectral Ricci bound forces product splitting on mean-convex manifolds
Rigidity and flexibility under spectral Ricci lower bounds and mean-convex boundary
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Global strong solutions exist for Hele-Shaw flow with point injection
Global well-posedness for the Hele-Shaw problem with point injection
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Hyperbolic catenoid has Robin nullity two in |k|=1 mode
Robin nullity in mode $|k|=1$ and asymptotic radius of the critical spherical catenoid
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Annular flatness improvement classifies minimal surface ends
Improvement of flatness in annuli
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Mean-field transformer tokens concentrate at rate scaling with √(log β / β)
Quantifying Concentration Phenomena of Mean-Field Transformers in the Low-Temperature Regime
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Positivity makes generalized Stokes operator invertible on cylindrical domains
Well-posedness of a generalized Stokes operator on domains with cylindrical ends via layer-potentials
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Yang-Mills flow converges on ALE gravitational instantons
Convergence of the Yang-Mills flow on ALE gravitational instantons
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One-sided balance condition yields new entropy structures for 3-wave equations
Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations
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Distance between minimal hypersurfaces obeys elliptic PDE
Distance between minimal surfaces and flows
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Existence of positive solutions for sublinear semilinear equations
Existence of Positive Solutions to Semilinear Equations with Sublinear Nonlinearities and Compact Positivity-Improving Resolvent
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Background field stabilizes 3D compressible MHD with weak dissipation
Global uniform regularity for the 3D compressible MHD equations near a background magnetic field
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Background magnetic field grants global regularity to 3D compressible MHD
Global uniform regularity for the 3D compressible MHD equations near a background magnetic field