archive
Every paper Pith has read. Search by title, abstract, or pith.
1754 papers in math.AP · page 4
-
Transformers modeled as time-dependent Wasserstein gradient flows
Multi-Headed Transformer Architectures as Time-dependent Wasserstein Gradient Flows
-
Sign conditions on polynomials guarantee spatial instabilities
Conditions for spatial instabilities and pattern formation from monomial steady state parameterizations
-
The paper proves that convergence to steady state in an eight-equation linear hyperbolic…
On the rate of convergence to steady state in a linear chromatography model
-
Reference states prove uniqueness for Westervelt parameter recovery
Multi parameter identification in the nonlinear periodic Westervelt equation
-
Reference states prove uniqueness for Westervelt multi-parameter recovery
Multi parameter identification in the nonlinear periodic Westervelt equation
-
Anisotropic rearrangement bounds BV functions in L1
Anisotropic gradient rearrangement of BV functions and applications
-
Augmented energy unlocks full-range L2 decay in dissipative NLS
Large-data $L^2$-decay for attractive-dissipative nonlinear Schr\"odinger equations without the strong dissipative condition
-
Fractional Hardy deficit bounded by distance to virtual extremals
Quantitative stability for fractional Hardy inequalities: Rearrangement-free techniques and Emden-Fowler analysis
-
Pathwise limit yields deterministic turbulent stretching model for polymers
Turbulent stretching of FENE dumbbell polymer model via special stochastic scaling and singular limits
-
Supercritical wave equation stays global for split large data
Global dynamics of a supercritical wave equation in a large data regime
-
Steady state sets sharp blow-up threshold for thin film equation
Sharp threshold for a one-dimensional thin film equation in the supercritical case
-
Mean field games recover cost fields from active population dynamics
Travel-time tomography from mean field game dynamics
-
Dean-Kawasaki obstacle problems well-posed under continuous obstacles
Well-posedness of the obstacle problem for generalized Dean-Kawasaki equation
-
Bilinear reaction control steers degenerate equations in moving domains
Bilinear control to trajectories of 1D degenerate parabolic equations in moving domains
-
Tree fractal obeys weak but not strong Harnack inequality
A tree-like fractal Dirichlet space lying between strong and weak elliptic Harnack inequalities
-
Mean-field symmetry on sphere implies Hawking mass rigidity
Symmetry and Rigidity Results for the Mean Field Equation and Hawking Mass on ( \mathbb{S}^2 )
-
Convex integration disproves weighted CZ estimates for degenerate PDEs (p>2)
Failure of Calder\'{o}n-Zygmund estimates for degenerate elliptic PDEs with $A_p$-weights when $p > 2$
-
Implicit low-rank method stabilizes stiff kinetic collisions
Implicit Dynamical Tensor Train Approximation for Kinetic Equations with Stiff Fokker--Planck Collisions
-
Mixed fractional operators satisfy Hölder and Harnack regularity
Regularity of superposition operators of mixed fractional order
-
C∞ blowup profile found for 3D Euler 1D model at α=1/3
Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity I: $C^{\infty}$ 1D Limiting Profiles
-
Symmetries conserve momentum in damped nonlinear waves
Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equations
-
Exact blowup profiles exist for 3D Euler below critical regularity
Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior
7 Piths -
3D Euler admits exact self-similar blowup below C^{1,1/3}
Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior
7 Piths -
The paper proves that both the shape and the function of a general inhomogeneous…
An inverse problem for inhomogeneous Signorini obstacle
-
Sublinear height growth forces Euclidean volume for proper minimal immersions
Minimal submanifolds confined in space
-
Quenched disorder speeds FKPP fronts linearly with variance
FKPP fronts in quenched random media
-
Plasma electrons accelerate linearly but heat only logarithmically
Runaway avalanches in plasmas with external electric fields: spatially inhomogeneous case in a perturbation framework
-
Exact pullback forms decide which sphere maps lift via Hopf
Some lifting and approximation properties for maps in $W^{1,2}(\mathbb{B}^3;\mathbb{S}^2)$
-
Global solutions exist for power-rate fragmentation-coagulation in any dimension
Local and global solutions to continuous fragmentation-coagulation equations with vanishing diffusion and unbounded fragmentation and coagulation rates
-
Damped beam reaches rest from boundary for all ρ ≤ 2 and almost all larger ρ
Boundary null-controllability for the beam equation with classical structural damping
-
Local strong solutions for fluid-elastic shell system
Well-posedness theorems in fluid-structure interaction: perfectly elastic shells
-
Boussinesq equation well-posed on half-line with Robin conditions
The "good" Boussinesq equation on the half-line with Robin boundary conditions
-
Biharmonic maps to spheres satisfy energy identity for n at least 5
Energy identity for stationary biharmonic mappings into spheres in supercritical dimensions
-
Shell model of Navier-Stokes shows finite-time blow-up
Finite-time blow-up in an elementary model of the 3D Navier-Stokes equations
-
Kuramoto game equilibria are unique above critical strength
Uniqueness of synchronized stationary equilibria in the Kuramoto mean field game
2 Piths -
Lax-Oleinik formula gives unique solutions on general networks
Lax-Oleinik formula for nonautonomous Hamilton-Jacobi equations on networks
-
Black solitons stay stable when momentum slope is negative at zero
Orbital stability of black solitons for quasilinear Schr\"odinger equations with nonzero conditions at infinity
-
The paper proves that an L2-type condition on the low-frequency part of initial data is…
Sharp decay characterization for the incompressible Oldroyd-B model in critical $L^p$ spaces
-
Keller-Segel system ill-posed in L^q spaces for dimensions 3-9
Spectral instability and non-uniqueness of mild solutions for the Keller-Segel system
-
Trajectory method transfers regularity in kinetic equations
Transfer of regularity by kinetic mollification along critical trajectories
-
Hyperbolic catenoids have index 4 near a=1/2
Analytic local resolution of Medvedev's Morse index conjecture for the critical hyperbolic catenoid in $\mathbb{H}^3$
-
Hyperbolic catenoid has index 4 near a=1/2 limit
Analytic local resolution of Medvedev's Morse index conjecture for the critical hyperbolic catenoid in $\mathbb{H}^3$
-
Morse index of critical hyperbolic catenoid is 4 near a=1/2
Analytic local resolution of Medvedev's Morse index conjecture for the critical hyperbolic catenoid in $\mathbb{H}^3$
-
Infinitely many mixed multi-peak solutions for 3-component Hartree system
Infinitely many multi-peaks solutions for a nonlinear Hartree system
-
Log Laplacian with indefinite weights has infinite eigenvalues
Spectral Properties of the Logarithmic Laplacian with Indefinite Weights
-
Trajectories identify stochastic parameters uniquely
Structural identifiability of partially-observed stochastic processes: from single-particle trajectories to total particle density data
-
Weak solutions exist for Dean-Kawasaki with singular Biot-Savart kernels
Dean-Kawasaki Equation with Biot-Savart and Keller-Segel Interactions: Existence and Large Deviations
-
Yudovich solutions exist globally for reduced micropolar fluid model
Global Yudovich-type solutions to a reduced model for micropolar fluids with zero viscosity
-
Finsler Liouville solutions classified under finite mass alone
Classification of solutions to the singular Liouville's equation associated with the $N$ Finsler Laplacian
-
Weighted Wasserstein EVI holds in non-convex domains
The evolution variational inequality for weighted Wasserstein metrics in non-convex bounded domains