archive
Every paper Pith has read. Search by title, abstract, or pith.
1754 papers in math.AP · page 12
-
Test functions prove zero nonnegative solutions for (p,q)-Laplacian inequality
On nonnegative solutions of the differential inequality $\Delta_pu+ \Delta_q u+V(x)u^s\leq 0$ on Riemannian manifolds
-
Local-sum normalization stabilizes Gaussian KANs
Partition-of-Unity Gaussian Kolmogorov-Arnold Networks
-
Landfast ice model reaches stationary zero-velocity states
Analysis and numerical simulations of a landfast ice model
-
Translated viscosity solutions to mixed parabolic equations are Lipschitz
Gradient regularity for viscosity solutions to quasilinear parabolic equations with mixed singular-degenerate structure
-
C² estimates hold for semi-convex Hessian quotients in any dimension
Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions
-
Single blow-up cannot coexist with residual mass in dimensions 4 and 5
Blowing-up Solutions with Residual Mass in a Slightly Subcritical Dirichlet Problem
-
Leibenson solution bounds equivalent to Sobolev inequality on manifolds
Long time upper bounds for solutions of Leibenson's equation on Riemannian manifolds
-
Shape gradient with repulsive energy segments complex color images
A Topology fixated Shape Gradient Framework for Non Simple Boundary Extraction for CIE Lab color images with Repulsive Energy
-
Small weighted data scatter in 3D Zakharov-Kuznetsov equation
Scattering of the 3D Zakharov-Kuznetsov equation
-
Kinetic Fokker-Planck homogenizes to effective heat equation
Large-Scale Regularity for the Periodic Kinetic Fokker-Planck equation
-
Kinetic Fokker-Planck bound splits into Kolmogorov and Gaussian regimes
Nash-Aronson Estimate for the Linear Kinetic Fokker-Planck equation
-
Strongly singular operators map L^∞(w) to BMO(w)
Continuity properties of strongly singular integral operators for extreme values of $p$
-
Unique solution proven for Biot leaching model via fixed point
Correctness of Biot's model of in situ leaching for incompressible liquid and compressible solid components
-
Strong solutions exist for shear-thinning thin-film equations
Strong solutions and stability for a thin-film equation of shear-thinning fluids with contact line in partial wetting
-
Static metrics with Lambda<0 stable under flow iff positive mass theorem holds nearby
Static Vacuum Spacetimes with $\Lambda<0$ as Attractors of the Ricci-Harmonic Flow
-
Timelike Ricci bounds equal entropy convexity in Orlicz Lorentzian transport
Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs
-
Ricci bounds equal entropy convexity via generalized Lorentzian transport
Timelike Ricci curvature lower bounds via optimal transport for Orlicz-type Lorentzian costs
-
Bi-directional coupling stabilizes solitons in laser-microresonator systems
Enhanced Soliton Stability in Bi-directionally Coupled Laser-Microresonator Systems
-
Weighted Dirichlet inequalities hold for rearrangements in cylinders
Weighted Dirichlet-type inequalities for the decreasing rearrangement in cylinders
-
Efficiency of first eigenfunction maximizes below classical bound
Maximization of the efficiency of the first Dirichlet eigenfunction and improved eigenvalue inequalities
-
Representation derived for ultrahyperbolic equation solutions
On a certain representation of a solution to the characteristic problem for the ultrahyperbolic equation
-
Gradient is Hölder continuous for nonlocal double phase solutions
Gradient H\"{o}lder regularity for nonlocal double phase equations
-
Joint eigenfunctions get sharp bound h^(-n+k+1)/2 at rank-k points
Trace estimates and improved pointwise bounds for joint eigenfunctions
-
Critical convection strength flips KPP solution from vanishing to spreading
Large time behavior and transition from vanishing to spreading regimes for the generalized Burgers-Fisher-KPP equation
-
Affine cumulative Euler flows always begin unphysical
Cumulative Euler flows
-
Three parameters generate nearly all mollusk shell shapes
Local growth laws determine global shape of molluscan shells
-
Weighted spaces prove well-posedness for degenerate firn diffusion
Direct Problem for Gas Diffusion in Polar Firn with Variable Coefficients
-
Maximum principle keeps temperature positive in coupled reaction-phase PDEs
Maximum principle and local stability for a class of coupled nonlinear thermo--reaction--phase systems
-
Right-hand side integrability lifts gradient regularity in parabolic systems
Calder\'on-Zygmund estimates for parabolic $p$-Laplacian systems with non-divergence form right-hand sides
-
Renormalized quantum Bose gas yields classical Gibbs measure for 2D fractional Bessel
Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions
-
Entropic OT selects unique plan on each Euclidean transport ray
Entropic regularization of Monge's problem
-
s-John domains obey boxing inequalities for fractional perimeters
Boxing inequalities for relative fractional perimeter and fractional Poincar\'e-type inequalities on John domains with the BBM factor
-
Boltzmann equation admits 3D time-periodic solutions for small forces
Three-dimensional time-periodic problem on the Boltzmann equation with external force
-
Exact solution derived for sequential Caputo fractional equation
On a Boundary-Initial Value Problem for Fractional Differential Equation with Sequential Caputo derivatives
-
Finite-time blow-up occurs for certain parabolic equations on the Heisenberg group
Inhomogeneous parabolic equations with Hardy potential and memory on the Heisenberg group
-
Euler blowups imply lower bounds on vorticity derivative growth
On the blowup rate of vorticity for the Euler equations in a bounded domain
-
Rotating fluid solutions decay at linear rates in all L^p norms
Temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force
-
Navier-Stokes with swirl reduced to one local estimate
Axisymmetric Navier--Stokes with Swirl:\ Final Master Manuscript for the Unconditional Global Existence Program
-
Local weak solutions proven for thermally driven phase separation
A Temperature-Coupled Cahn-Hilliard-Stokes-Heat Model for Thermally Driven Phase Separation
-
Sine-Gordon equation with delta potential is globally well-posed
Analysis of the sine-Gordon equation with a nonlinear $\delta$-potential
-
First layer sets the scale for Gaussian KANs
Scale-Parameter Selection in Gaussian Kolmogorov-Arnold Networks
-
No positive solutions on graphs with limited volume growth
Liouville Type Results for Quasilinear Elliptic Inequalities Involving Gradient Terms on Weighted Graphs
-
Critical long-range jumps yield Brownian motion under sqrt(t log t) scaling
Quantitative homogenization for the critical long-range random conductance model
-
Non-flatness drops harmonic measure dimension below s
Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries
-
3D water waves stay small for time 1/ε² at generic tensions
Quasi-resonant normal form and quadratic lifespan for 3D gravity-capillary water waves
-
Regular 4-polytopes model Z/2-harmonic singularities on R^4
Homogeneous $\mathbb Z/2$-Harmonic Forms and Spinors on $\mathbb{R}^4$ from Regular 4-Polytopes
-
Integral reformulation proves unique solution for bulk-surface Laplace with open edge
Bulk-Surface Coupled PDE with an Open Boundary
-
Super-quadratic decay at two times forces zero solution for variable magnetic Schrödinger
Magnetic uncertainty in variable geometry
-
Formula computes coil currents to match any plasma equilibrium field
An analytic formula for surface currents generating prescribed plasma equilibrium fields
-
Global solutions to symmetric NS with vacuum exist for δ > 0.7427
Global spherically symmetric solutions to the isothermal compressible Navier-Stokes equations with far-field vacuum