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Every paper Pith has read. Search by title, abstract, or pith.
1754 papers in math.AP · page 6
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Counterexample shows vanishing-viscosity limit fails
Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems
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Viscoelasticity solutions are curves of maximal slope in metric space
Gradient-flow characterizations of one-dimensional quasistatic viscoelasticity with Bhattacharya-like viscosity
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Diverging volume sum kills positive solutions to p-Laplace inequality
A Volume-Growth Criterion for the p-Laplace Inequality on Weighted Graphs
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Vorticity must be orthogonal to pseudo-harmonic fields for solvability
On the Multi-Dimensional Divergence-Curl Problem and Its Connection with Pseudo-Harmonic Fields
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Degenerate nonlinear equations gain C^1 boundary regularity on C^2 domains
Boundary $ C^{1}$ regularity for degenerate fully nonlinear elliptic equations on $ C^{2} $ domain
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Nudging converges for parabolic equations with noisy observations
Continuous Data Assimilation for Semilinear Parabolic Equations with Multiplicative Observation Noise
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Martingale quadratic variation density forces exponential L2 decay in stochastic NLS
Exponential Decay of $L^2$-Solutions to Stochastic Nonlinear Schr\"odinger Equations Driven by Continuous Martingales
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Rotating cylinder films have unique steady states for non-integer length ratios
Analysis of a three-dimensional fluid flow in rotating cylinders
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Deeper Picard iterations cut truncation error without unbounded estimation error
Generalization Error Bounds for Picard-Type Operator Learning in Nonlinear Parabolic PDEs
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Kinetic solutions approach Euler-Poisson system in double limit
Hydrodynamic limit and Newtonian limit from the relativistic Vlasov-Maxwell-Boltzmann system to the classical Euler-Poisson system
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Algebraic cancellation yields global large solutions for multi-species Boltzmann
Global Well-posedness for the Multi-species Boltzmann Equation with Large Amplitude Initial Data
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Elastica energy limits to 2π multiples at each concentration
Concentration effects and $\Gamma$-limit for the elastica functional for open and closed curves
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Cell geometry sets polarization pulse positions via Green's function potential
Geometry-induced pulse dynamics in a bulk-surface reaction-diffusion system for cell polarization
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3D Navier-Stokes solutions stay smooth for all time
A Classical Two-Part First-Threshold Proof of Global Smoothness for Navier--Stokes: Axisymmetric Swirl Closure and Full-System Reduction
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Two-part argument proves global smoothness for 3D Navier-Stokes
A Classical Two-Part First-Threshold Proof of Global Smoothness for Navier--Stokes: Axisymmetric Swirl Closure and Full-System Reduction
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Neumann eigenvalues converge to Steklov under boundary concentration
Weighted Neumann-to-Steklov limits for nonlinear eigenvalues and trace constants
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Forced Navier-Stokes solutions beat generic decay limits
Solutions of the Navier-Stokes equations with forced rapid space-time decay
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Mean-field SVGD converges in L2 at explicit polynomial rates
Quantitative Local Convergence of Mean-Field Stein Variational Gradient Flow
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Round multiply-covered circles are the only critical points of m-ideal energies
On the generalised ideal flow of closed planar curves
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Nonlocal control problems converge to local ones as s to 1 or delta to 0
Localization for nonlocal gradient-based optimal control problems
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U-shaped attention profile explains lost-in-the-middle
Kinetic theory for Transformers and the lost-in-the-middle phenomenon
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The paper proves existence and uniqueness of positive weak solutions to a singular…
On singular problems in nonreflexive fractional Orlicz-Sobolev spaces
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Solutions to singular fractional Orlicz problems converge to local limit
On singular problems in nonreflexive fractional Orlicz-Sobolev spaces
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Critical exponent splits existence and nonexistence for sphere Hardy heat inequality
Semilinear Heat Inequalities with a Hardy-Type Potential in an Exterior Geodesic Domain on $\mathbb{S}^N$
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Two critical exponents govern biharmonic heat equation
Double Criticality for a Hardy-Rellich Biharmonic Heat Equation in an Exterior Domain
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Courant nodal theorem holds for degenerate elliptic operators
Some Key Properties of Eigenfunctions Linked to Degenerate Elliptic Differential Operators
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Weak solutions exist for semilinear PDEs with rough initial data
Well-posedness and regularity for seminlinear time-dependent second and fourth order in space equations
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Positivity holds in Ekeland-Nirenberg problem exactly when d ≤ a c
The Ekeland--Nirenberg Variational Problem:A Sharp Positivity Threshold and Extensions
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Relative entropy bounds N-body states to Hartree mean field
Quantum Relative Entropy and the Mean-Field Limit
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Sign of singular integral decides half-space flow separation
On the Existence of Boundary Layer Separation for Incompressible Fluid Flow in the Half-Space
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Weights characterized for variable fractional maximal operator
Characterization of weights for the variable fractional maximal operator and weighted inequalities for variable fractional rough operators
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Decay bounds quantify energy spread in half-line SSH model
Dispersive decay bounds for the SSH model on the half-line
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Local well-posedness shown for noise-driven free boundaries in compressible fluids
Noise-Driven Free Boundaries In The Compressible Navier-Stokes Equations
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Finite Morse index Bernoulli solutions in 3D are axially symmetric
Finite index solutions to the Bernoulli problem in three dimensions are axially symmetric
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Large initial data force finite-time blow-up in mixed parabolic equations
Blow-up of solutions to semilinear parabolic equations driven by mixed local-nonlocal operators with large initial data
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Power law in derivative ratios bounds analyticity to explain enstrophy slump
On higher-order derivative ratios in turbulent flows
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Neuron networks synchronize exponentially when coupling exceeds explicit threshold
Global Dynamics and Synchronization of Hodgkin-Huxley-Wilson Neural Networks
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Training breaks attention clusters in late Transformer layers
Training-Induced Escape from Token Clustering in a Mean-Field Formulation of Transformers
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Compressible Euler dissipates energy on shocks
Dissipative structures in compressible inviscid fluids
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Hermite coefficients decay for weighted Gaussian functions
Hermite expansions of functions from the weighted Hardy class
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Non-resonant frequencies allow local quasi-periodic Boussinesq solutions
The Cauchy problem for the improved Boussinesq equation with spatially quasi-periodic initial data
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Negative curvature near trapped geodesics yields lossless Strichartz on conic surfaces
Strichartz and Spectral Projection Estimates on Asymptotically Conic Manifolds
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Small boundary data give unique stationary NSK solutions
Stationary solutions to the spherically symmetric compressible fluid with capillarity effect
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Boundary traces uniquely identify coefficient matrix in parabolic system
Uniqueness for an inverse coefficient problem of a weakly coupled parabolic system
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Gauge-invariant mass vanishes exactly on analytic Beltrami-Vekua equations
The Pseudo-Analytic Mass of a Beltrami-Vekua Equation
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Hexagonal lattice extremizes theta-Epstein zeta ratios
On ratios of theta functions
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Ball minimizes ratio of fractional perimeters locally
Stability of the ball in isoperimetric inequalities between two fractional perimeters
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3D compressible Couette flow stable at O(ν^{3/2}) threshold
Nonlinear stability threshold for 3D compressible Couette flow
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Toda lattice converges to KdV globally under scaling
The Korteweg-de Vries limit for the global dynamics of the Toda lattice
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Small support speeds blow-up in conservation laws with sources
Gradient Catastrophe for Solutions to the Conservation Laws with Source Term