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1754 papers in math.AP · page 7
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Robin boundary condition yields its own harmonic measure
What is ... Robin harmonic measure?
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1D fluid model with volume velocity has global solutions for any data size
Global Existence of Classical Solutions to Brenner-Navier-Stokes-Fourier System for Large Data
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Eulerian scheme converges for VPBGK plasma model
Convergence of an Eulerian scheme for the Vlasov-Poisson-BGK model
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Lifespan bounds obtained for wave equations with space-derivative nonlinearity
Lifespan estimate for one dimensional wave equation with semilinear terms of spatial derivative
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Slicing method gives simple blow-up proof for 2D quadratic waves
A revisit via slicing method on a quadratic semilinear wave equation in two space dimensions
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Unique solutions and sharp bounds for multi-term sublinear Lane-Emden problems
Dirichlet problem for Lane-Emden type equations with several sublinear terms
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New invariant c_δ decides when Weyl law holds on manifolds
The classical Weyl law for Schr\"odinger operators on complete Riemannian manifolds
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Minimal wave speed read from infinity in reaction-diffusion system
Minimal speed of unbounded traveling wave solutions for a 1D reaction-diffusion equation and their relationship with the dynamics at infinity
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Segregation free boundaries form C^1 manifolds away from critical angles
The Free Boundary in a Higher-Dimensional Long-Range Segregation Model
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1D mean field games give Lipschitz pressure at free boundary
Optimal regularity at the free boundary in one-dimensional first-order mean field games
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Ferroelectric nematic energy reduces to high-anisotropy nematic
Asymptotic analysis of the energy for a ferroelectric nematic
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Positivity estimate yields classical master equations on graphs without boundaries
Master equations with an individual noise on finite state graphs
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Eigenfunctions of quantum cat maps equidistribute on the torus
Equidistribution of Eigenfunctions of Quantum Cat Maps
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Hirota-Satsuma gains sharp local well-posedness off-diagonal
Sharp local well-posedness for the Hirota-Satsuma system
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Minimal immersions equate intrinsic and extrinsic area bounds
Equivalence of intrinsic and extrinsic area bounds for minimal surfaces
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Global weak solutions for liquid crystal in flexible shell
The simplified 2D Ericksen-Leslie liquid crystal model interacting with a 1D flexible shell
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Polynomial and sine-Gordon flows stable on the sphere
Formal Stability of Tetrahedral Non-Zonal Flows on the Sphere
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Entire spacelike radial graphs exist uniquely with prescribed mean curvature
Entire spacelike radial graphs with prescribed mean curvature in the Lorentz--Minkowski space
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Uniqueness from analytic data implies Hölder stability on compact sets
H\"older Stability from Exact Uniqueness for Finite-Dimensional Analytic Inverse Problems
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Small energy implies regularity for all fractional s
Uniform small energy regularity for fractional geometric problems
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Zero-order limit of s-harmonic functions given by logarithmic Laplacian
$s$-harmonic functions in the small order limit
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Point interactions create unique standing waves for defocusing NLS
Standing waves for defocusing nonlinear Schr\"odinger equations with point interaction
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Localized noise yields unique invariant measure for Allen-Cahn
Exponential mixing for the stochastic Allen--Cahn equation with localized white noise
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Nonlocal thin film energies Gamma-converge to local 2D functionals
Multiscale analysis and homogenization of nonlocal thin films
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Shallow water model consistent for general non-periodic topographies
Consistency analysis for combined homogenization and shallow water limit of water waves
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Characteristic data give smooth asymptotics for ultrahyperbolic solutions
Asymptotic properties of solutions to the characteristic problem for the ultrahyperbolic equation
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Global solutions for 2D chemotaxis-Euler system with small initial oxygen
Global solutions to a two-dimensional chemotaxis-Euler system with robin boundary conditions on oxygen
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Discounted HJ equation stable only above critical threshold c0
On the inhomogeneous discounted Hamilton-Jacobi equations
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Commutator bounds close well-posedness for transport equations in TL spaces
Commutator estimates and their applications to the transport-type equations
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Radial L^p integrability forces stationary Navier-Stokes solutions to vanish
Liouville Theorems for Stationary Navier-Stokes Equations via the Radial Velocity Component
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Formulas derived for functionals under harmonic-Ricci flow
Notes on harmonic-Ricci flow on surface
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Fixed-point iteration recovers space-time sources in subdiffusion
Numerical Analysis of Space-Time Dependent Source Identification in Subdiffusion Equations
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Two new regions extend Liouville theorems for 3D Navier-Stokes
Notes on Liouville-type theorems for the 3D stationary Navier-Stokes equations
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Two new regions extend Liouville theorems for 3D Navier-Stokes
Notes on Liouville-type theorems for the 3D stationary Navier-Stokes equations
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Kalman condition gives Hölder continuity to non-coercive HJ equations
H\"older continuity for non-coercive Hamilton-Jacobi equations associated to linear control systems
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Dimension conditions solve Wick stochastic equations on rough spaces
Wick Renormalized Parabolic Stochastic Quantization Equations on Rough Metric Measure Spaces
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R^{1/8} is optimal for square function traces on quadratic surfaces
An optimal trace estimate for microlocal square functions on quadratic surfaces
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σ₂-Yamabe problem solved on manifolds with positive Yamabe constant
The $\sigma_k$-Yamabe problem revisited
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σ2-Yamabe constant attained under positive Yamabe assumptions
The $\sigma_k$-Yamabe problem revisited
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Semi-global solutions exist for Goursat problem in quasilinear systems
Semi-global solutions to the Goursat problem for second-order hyper-quasilinear hyperbolic systems with lineary dependent principal coefficients and applications to the vacuum Einstein equations
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Hyper-quasilinear Goursat problems admit solutions near characteristics
Semi-global solutions to the Goursat problem for second-order hyper-quasilinear hyperbolic systems with lineary dependent principal coefficients and applications to the vacuum Einstein equations
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Five inequalities found via Grok collaboration
Grokability in five inequalities
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No stable solitons found in 2D Kaup-Broer-Kuperschmidt system
Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system
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Voigt regularization only on momentum gives global 3D MHD solutions
On a Partial Voigt Regularization of the 3D Magnetohydrodynamic Equations in Velocity-Vorticity Form
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Imitation learning stabilizes plasma from macroscopic measurements
Provable imitation learning for control of instability in partially-observed Vlasov--Poisson equations
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Immersed stable minimal hypersurfaces have singularities of dim at most n-7
An Optimal Regularity Theory for Immersed Stable Minimal Hypersurfaces with Small Singular Set
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b-Novikov equation has norm inflation at critical regularity
Ill-posedness in the critical Sobolev space for the $b$-Novikov equation
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Lifting technique gives unique mild solutions to infinite-dimensional HJB equations
Projected Evolutionary Lifting and Well-Posedness of Stationary Hamilton-Jacobi-Bellman Equations in Infinite Dimensions
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Monotonicity method detects inclusions despite non-self-adjoint perturbations
Reconstruction of non-self-adjoint anisotropic and complex inclusions in the Calder\'on problem
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Wave solutions last algebraically longer when speed flattens at zero
Lifespan of Classical Solutions to One-Dimensional Quasilinear Wave Equations