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Every paper Pith has read. Search by title, abstract, or pith.
1754 papers in math.AP · page 2
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Split fractional dissipations suffice for local well-posedness in 2.5D EMHD
Local well-posedness for the two-and-a-half-dimensional EMHD system with split fractional dissipation
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Quadratic Camassa-Holm equations close under multi-peakon dynamics
Peakon solutions and analytical properties for the Camassa-Holm type equations with quadratic nonlinearities
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Global strong solutions proven for 3D micropolar fluids without angular viscosity
Global well-posedness for 3D compressible and incompressible micropolar fluids without angular viscosity in strip domains
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Addition theorems yield exact elastic potential matrices
Addition Theorems for Real Vector Spherical Harmonics and Explicit Matrix Representations of the Quasi-Periodic Elastic Single Layer Potential
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Scattering-blowup split holds at energy threshold for 4d NLS
Threshold dynamics for the 4$d$ mass-energy double critical NLS
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Particles stay close to mean-field limit for all time in second-order CBO
Uniform-in-time propagation of chaos for Second-Order Consensus-Based Optimization
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Degenerate elliptic equations gain C^{1,α} estimates for L^p data
A priori estimates for solutions of degenerate fully nonlinear elliptic equations with $L^p$ data
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AI generates proofs for lower bounds on advection-diffusion mixing
Lower Bounds for Advection-Diffusion Equations: An Exploration with AI-Generated Proofs
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Atomic decompositions obtained for matrix-weighted variable Hardy spaces
Atomic Characterization and Its Applications of Matrix-Weighted Variable Hardy Spaces
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Boundary conditions select viscous Laplacians on any hypersurface
Universal thin-shell limits for the viscous operator on Riemannian hypersurfaces
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Free wave approximates damped wave in 1D but fails in 2D
On the $L^{2}$ estimates of the diffusion waves
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Damped wave matches free wave in 1D but diverges logarithmically in 2D
On the $L^{2}$ estimates of the diffusion waves
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Eigenvalue sets stability thresholds for stochastic equations
Long-Time Stability Analysis for Stochastic Evolution Equations with Multiplicative Noise
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p-Laplacian essential spectrum equals Poincaré constant at infinity
Essential spectrum for the $p-$Laplacian
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Dynamos on any bounded domain grow arbitrarily fast as diffusion vanishes
Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation
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Weighted L^∞ bound prevents lifting Euler singularities into Landau-Boltzmann
Pointwise bounds and obstructions to blowup for the Landau and Boltzmann equations
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Contour integrals solve linear Cahn-Hilliard with interfaces
The linear Cahn-Hilliard equation with an interface
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Spectral gap yields linear growth bounds on correctors
Moment bounds on correctors for the degenerate random conductance model
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Averaged Green's operator recovers mean and variance of random potential
A note on several inverse problems with generally random coefficients
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Averaged Green's operator recovers random potential mean and variance
A note on several inverse problems with generally random coefficients
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Causal transport value equals nonlinear PDE on enlarged space
Analytical Approach to Continuous-Time Causal Optimal Transport
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Couette flow has nearby smooth states below s=1+1/p but none above
Flexibility and rigidity for the Couette flow in the infinite channel
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Groundstates exist for every mass in mixed (p,2)-Laplacian equations
Normalized groundstates for mixed $(p,2)$-Laplacian equations in $\mathbb R^2$ with exponential critical growth
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Variational proof establishes stability of smooth waves in Fornberg-Whitham model
Orbital Stability of Smooth Traveling Solitary Waves to the Fornberg-Whitham Equation
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Domain cuts let neural operators handle PDE discontinuities
Smooth Piecewise Cutting for Neural Operator to Handle Discontinuities and Sharp Transitions
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Multiphase Bernoulli free boundaries form C^{1,η} graphs near two-phase points
On a Multiphase Vectorial Bernoulli Free Boundary Problem
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Self-similar blow-up for Euler with C^{1,alpha} initial data
Self-similar blow-up solutions of incompressible Euler equations in $\mathbb R^d, d\geq 3$ with $C^{1,1-2/d-}$ velocity
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Cumulants show trivial limits for Rayleigh gas fluctuations
Cumulants of the Rayleigh gas mixture model: statistical results
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Law of large numbers holds for Rayleigh gas mixture with infinite tags
About a nonideal Rayleigh gas mixture model
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Shape design yields observability for degenerate parabolic equations
Shape Design for Degenerate Parabolic Equations with Degenerate Boundaries and Its Application to Boundary Observability
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Gamma limit encodes wrinkle frequencies in radially stretched annulus
Wrinkling in the Lam\'e problem: a $\Gamma$-convergence approach
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Joint flow produces free boundary minimal immersions
Flowing to free boundary minimal surfaces
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Splines replace neural networks for accurate ODE solutions
A Spline-based Physics-Informed Numerical Scheme: Accurate Smooth Solutions for Differential Equations
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Integral equations apply to scattering by multifractal obstacles
Integral Equation Methods for Scattering by Multifractal Obstacles
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Global solutions exist for nonautonomous coupled evolution inclusions
Nonautonomous systems of evolution inclusions
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Bounded A-variation implies BV^A membership on Lipschitz domains
A regularity result for $BV^{\mathcal{A}}(\Omega)$
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Magnetic Schrödinger operators satisfy maximal inequalities for all p
Maximal inequalities and Riesz transforms for vector-valued magnetic Schr\"odinger operators
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Magnetic Schrödinger operators bound Riesz transforms for p up to 2
Maximal inequalities and Riesz transforms for vector-valued magnetic Schr\"odinger operators
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Boundary condition fixes surfactant mass conservation in film models
A conservation-consistent boundary condition for nonlinear models of soluble-surfactant-laden falling films
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Characterization yields optimal Hardy weight for fractional Laplacians
Positive Criticality and Optimal Hardy Inequality for Fractional Laplacians
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R13 equations globally well-posed with Onsager boundaries
Global well-posedness of the linearized R13 moment equations with Onsager boundary conditions
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Beta-FPUT kinetic equation justified up to T_kin to the 2/3
Rigorous Derivation of the Wave Kinetic Equation for full $\beta$-FPUT System
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Stability inequality proven for HLS critical points in non-Hilbert distance
Stability for Critical Points of the Hardy--Littlewood--Sobolev Inequality and a Dual Stability Framework
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Generic data prevents naked singularities in 2+1 gravity
Weak cosmic censorship for the circularly symmetric Einstein-scalar field system in $2+1$ dimensions
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Monge-Ampère solutions admit singular measures on low-codim sets
Solutions to Monge-Amp\`ere Equations with Low Codimensional singularities
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Single induction field suffices for magnetostatics with elasticity
On the single field formulation in magnetostatics
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Time-periodic weak solutions exist for nonlinear fluid-plate system
Time-periodic solutions for viscous fluids interacting with nonlinear Koiter plates
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Weaker hypothesis proves spacetime Penrose inequality
The spacetime Penrose inequality under a quasi final state hypothesis
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General Lévy operators achieve C^s boundary regularity
Boundary regularity for general elliptic operators of order $2s$
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Analyticity bounds nested nodal loops in Laplace sums
Nested nodal loops for sums of Laplace eigenfunctions