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1754 papers in math.AP · page 9
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Existence proved for singular p-Laplacian obstacle problems
The obstacle problem for singular quasi-linear elliptic equations
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Infinitely many scales homogenize for elliptic equations
Quantitative homogenization of elliptic equations with infinitely many scales
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Multiplier theorem drops smoothness to topological dimension
On Spectral multiplier theorem for sub-Laplacians with drift on M\'etivier groups
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Wave turbulence kinetic equation replaced by random field near blow-up
On the onset of correlations in Wave Turbulence close to singularities
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Schrödinger observability holds from any open set with bounded potentials
On the observability of the Schr\"odinger equation in the torus from open sets
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New assumptions enable gradient estimates in double-phase measure problems
Gradient estimates for degenerate elliptic measure data problems with double phase
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LDG schemes retain energy stability for stochastic transport
Structure-preserving LDG methods for linear and nonlinear transport equations with gradient noise
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Chemotaxis-Navier-Stokes equations converge at zero viscosity under slip boundaries
Zero-viscosity limit of the chemotaxis-Navier-Stokes equations with the Navier-slip boundary condition
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Degenerate elliptic equations with Hamiltonians gain C^{1,α} regularity
Sharp regularity for a class of degenerate/singular fully nonlinear elliptic equations with Hamiltonian terms
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Weak solutions exist for stationary NS-CH with singular log energy
On weak solutions for the stationary Cahn-Hillard-Navier-Stokes equations with singular potential
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Weighted decoupling holds with lower-dimensional frequency localization
Weighted decoupling with lower-dimensional frequency localization
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Gaussian X-ray normal operators share eigenfunctions with oscillator
Gaussian-weighted normal operators on Euclidean space
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Nonlocal minimal surfaces obey universal density bounds at every scale
Volumetric density estimates for nonlocal minimal surfaces
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Reminiscences mark Robert V
Robert V. Kohn (1953-2026)
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Duality yields O(N^{-1/2}) rates for mean-field particle convergence
Quantitative Estimates for Mean-Field Limits and Correlation Functions through a Duality Framework
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Non-disk rectifiable domains satisfy weak Serrin problem
Serrin's overdetermined problem and sharp harmonic quadrature identities in the plane
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Non-Smirnov domains satisfy weak Serrin problem
Serrin's overdetermined problem and sharp harmonic quadrature identities in the plane
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Grushin PDE with singular term has solutions in three p regimes
Existence and multiplicity of solutions for a critical Grushin problem with a singular nonlinearity
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Heat semigroup recovers total variation on any complete weighted manifold
Sets of finite perimeter on Riemannian manifolds and stochastic completeness
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Choquet-Bruhat proved local existence of Einstein equation solutions in 1952
Yvonne Choquet-Bruhat 1923-2025
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Entropy decays at sqrt(rho) rate for underdamped Langevin
A sharp hypocoercive entropy decay estimate for underdamped Langevin dynamics
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Entropy decays at √ρ rate for underdamped Langevin
A sharp hypocoercive entropy decay estimate for underdamped Langevin dynamics
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Unique renormalized solutions for parabolic equations with L1 data
Renormalized Solution for the Nonlinear Parabolic Problem with Lower Order Terms
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Axisymmetric swirl Navier-Stokes flows stay smooth forever
Large-Data Global Regularity for Three-Dimensional Navier--Stokes I: A Direct First-Threshold Continuation Proof for the Axisymmetric Swirl Class
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Threshold argument continues axisymmetric swirl solutions
Large-Data Global Regularity for Three-Dimensional Navier--Stokes I: A Direct First-Threshold Continuation Proof for the Axisymmetric Swirl Class
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3D Navier-Stokes stays regular for large data via threshold proof
Large-Data Global Regularity for Three-Dimensional Navier--Stokes II: A Direct First-Threshold Continuation Proof for the Full System
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Global smooth solutions exist for quasilinear wave equation with monotonic c
Large data global well-posedness for a one-dimensional quasilinear wave equation
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Global well-posedness shown for large data in quasilinear wave equation
Large data global well-posedness for a one-dimensional quasilinear wave equation
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Stability estimates proven for nonlocal balance laws with memory
Stability estimates for systems of nonlocal balance laws with memory
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Inertial Winfree oscillators reach death or near-full alignment under explicit smallness
Relaxation dynamics of the Inertial Winfree model
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The paper analyzes how the regularity of the integral kernel affects discontinuities in…
Discontinuity Analysis and Semi-Analytic Spectral Approximation for the Nonlocal Poisson Equation
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Pólya-Szegő inequality holds for circular rearrangement
Rigidity for the P\'olya-Szeg\"o inequality under circular rearrangement
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Signed measures get unique transport maps that keep fractal dimension
Optimal transport of signed measures: existence, uniqueness and fractal structure
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Unique transport maps exist for signed measures preserving fractal dimension
Optimal transport of signed measures: existence, uniqueness and fractal structure
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Lamb-Chaplygin dipole spectrally stable without symmetry assumptions
On the stability of Lamb-Chaplygin dipole for the 2D Euler equation
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New proofs establish Brunn-Minkowski for eigenvalues
Convexity inequalities for eigenvalues and log-concavity of eigenfunctions
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Vector unified transform yields explicit integrals for Dirac interfaces
Resolving an interface problem for the Dirac equation by using the unified transform method
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Degenerate hyperbolic PDEs admit observability with interior remainder
Hidden Boundary Trace Regularity and an Observability Estimate with Interior Remainder for Boundary-Degenerate Hyperbolic Equations
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Projected tug-of-war game yields discrete scheme for regularized p-Laplacian
A Projected Tug-of-War Game for the Regularized $p$-Laplacian
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Global smooth solutions proven for thermoelastic phase transitions
Global Smooth Solutions to a Thermoelastic Cauchy Problem in Phase Transitions
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Two-parameter path solves J-equation on singular Kähler metrics
Poincar\'e type J-equation
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Energy dissipative solutions exist for state-dependent parabolic PDEs
Energy Dissipative Solution to a Nonlinear Parabolic Systems with Unknown Dependent Coefficients
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Mittag-Leffler convolutions reduce to finite sums
Convolution-to-sum identities for Mittag-Leffler type functions
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Perturbations of p-mean curvature control minimizer stability in Heisenberg group
Stability of p-area minimizing surfaces in the Heisenberg group
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Damped wave solution lifespan scales as ρ^{-(p-2)}
Lifespan Lower Estimates for a Strongly Damped Semilinear Wave Equation
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Stackelberg-Nash controls nullify Stefan free boundary locally
Stackelberg-Nash controllability for a multi-objective Stefan problem
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Smooth implosions solve compressible Euler equations stably
Smooth and stable Euler implosions
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Klein-Gordon-Zakharov system admits dipole solutions separating as 2 log t
Existence of dipoles of Klein-Gordon-Zakharov system
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Compact weighted traces allow Steklov solutions in cuspidal domains
Compactness of weighted Sobolev trace operators and non-linear Steklov problems
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Fractional Laplacians improve Gagliardo-Nirenberg inequalities
Gagliardo-Nirenberg type inequalities with a BMO term and fractional Laplacians