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1754 papers in math.AP · page 8
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Breathers approach but miss Airy-Strichartz sharp bound
Neural Discovery of Strichartz Extremizers
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Global detonation waves exist in ZND piston problem
Existence of detonation wave solutions to the piston problem for the Zeldovich-von Neumann-D{\"o}ring combustion model
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Gradient estimates yield renormalized solutions for parabolic PDE
Renormalized Solution for the Nonlinear Parabolic Problem with Lower Order Terms
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Smooth positive weights allow non-unique PDE solutions from zero data
Non-uniqueness for a differential equation and a proof by ChatGPT
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Kirchhoff-log equation yields two small-mass solutions above p=14/3
Normalized solutions to a class of Kirchhoff type equations with a logarithmic perturbation
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Hyperbolic double-power equation thresholds fully classified
A scalar field equation on hyperbolic space with indefinite sign nonlinearity
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Fisher-KPP solutions in hyperbolic space follow Euclidean traveling waves
Traveling-wave behavior for Fisher-KPP equations in the hyperbolic space
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Riesz property holds for L^r perturbations of degenerate oscillators
Riesz property in the case of multiple eigenvalues
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Only projected Mather measures attain c[H] in GHGF semi-flow
Recent progress in generalized Hamiltonian gradient flow: Singularities
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Small data yields global solutions for active liquid crystals above activity threshold
Global well-posedness and decay rates for the three dimensional incompressible active liquid crystals
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Active liquid crystals gain global solutions above critical activity
Global well-posedness and decay rates for the three dimensional incompressible active liquid crystals
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Axisymmetric Euler with swirl blows up in finite time
Euler Singularities II: Interior Quadrupole Blow-Up for Smooth Axisymmetric Euler with Swirl in \texorpdfstring{$\mathbb R^3$}
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Ricci shrinkers have bounded Betti numbers and end dichotomy
Topology of gradient Ricci shrinkers via weighted $L^2$ cohomology
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Background magnetic field stabilizes ideal MHD globally
Stabilization by a background magnetic field: global well-posedness of the compressible isentropic ideal MHD equations with velocity damping
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Minimizers concentrate energy on (n-2)-rectifiable varifolds
Asymptotics of Minimizers for Ginzburg--Landau-type Functionals in High Dimensions
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Chemotaxis traveling waves exist for χ ≤ 0 or χ < 1/2
Existence, uniqueness, stability, and monotonicity of traveling waves for repulsion/attraction chemotaxis models with logistic type source
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Global symmetric solutions exist for large-data NSK equations
Global spherically symmetric solutions to the multidimensional isentropic compressible Navier--Stokes--Korteweg system with large initial data
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Equilateral triangle uniquely minimizes eigenvalue functional
Sharp Dirichlet eigenvalue inequalities on triangles
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Control norms extend fluid-shell solutions past blow-up
Blow-Up Criteria and Weak--Strong Uniqueness for Compressible Fluid--Viscoelastic Shell Interactions
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Strong fluid-shell solutions continue if gradient norms stay finite
Blow-Up Criteria and Weak--Strong Uniqueness for Compressible Fluid--Viscoelastic Shell Interactions
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Projection reduces two-point fractional Maxwell system to well-posed one-point form
Fractional Vector Calculus and the Fractional Maxwell's Equations
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Smooth Euler flow with swirl blows up at cylinder wall
Euler Singularities I: Boundary Blow-Up for Smooth Exact-Odd Axisymmetric Euler with Swirl
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Parabolic systems induce isomorphisms on generalized Sobolev spaces
Matrix parabolic problems in Sobolev spaces of generalized smoothness
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Mass at infinity generalizes Maz'ya-Shaposhnikova formula
Closing the gap: Maz'ya-Shaposhnikova and asymptotics of fractional perimeters
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Burgers-Hilbert traveling waves unstable at ω=3
Linear instability of a Burgers--Hilbert traveling wave
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Pathwise unique local strong solutions for stochastic tamed Navier-Stokes
On existence of local and global strong solutions for the stochastic tamed Navier-Stokes equations on $\mathbb{R}^3$
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Affine fractional Sobolev inequality gets sharp global stability
Sharp Stability for the Affine Fractional Sobolev Inequality
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Contact discontinuities exist in axisymmetric subsonic cylinder flows
A Two-Phase Free Boundary Problem for Axisymmetric Subsonic Euler Flows with Contact Discontinuities
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Solutions exist for singular elliptic equations on C^{1,1} domains
Singular semilinear elliptic equations in nondivergence form
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Deficit quadratically controls distance to Trudinger-Moser optimizers
Quantitative stability for the Trudinger-Moser inequality
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Local solutions exist for mixed heat equation with exponential nonlinearity
Heat equations driven by mixed local-nonlocal operators with exponential nonlinearity
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SVGD collapses to local Wasserstein flow with quadratic mobility
Stein Variational Gradient Descent dynamics for highly concentrated kernels
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Cell polarization model converges to explicit ellipse
On the shape of the positivity region for a free boundary problem describing cell polarization
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De Sitter stability follows from exact conformal boundary expansion
Stability of de Sitter Space and Expansion at the Conformal Boundary
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Dissipativity replaces norm bounds for Carleman linearization convergence
Nonlinear semigroups with unbounded generators under Carleman linearization
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Graph approximations yield harmonic functions in metric spaces
Approximation of harmonic functions on metric measure spaces of controlled geometry via discrete graphs
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Boundary derivatives explode or decay nonlocally as p approaches 1
Explosion versus decay for boundary derivatives of $p$-harmonic functions as $p$ tends to 1: nonlocality
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Truncated boundary-jet model blows up in finite time
A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system
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Morrey spaces allow unique Itô solutions with 1/|x| drifts
Stochastic It\^o Equations and Parabolic Second-Order Equations with singular Drift
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Waves on 2D perturbed spacetimes decay like flat space
Late-time tails for linear waves on radially symmetric stationary spacetimes of two space dimensions
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Wave tails on 2D perturbed Minkowski space decay as u^{-1/2}v^{-1/2}
Late-time tails for linear waves on radially symmetric stationary spacetimes of two space dimensions
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Unique solutions exist for spatio-characteristic quasilinear hyperbolic systems
Solution of second-order hyperbolic quasilinear systems with spatio-characteristic initial data in weighted Sobolev-type spaces under finite differentiability assumptions on the data
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Bounded Morse index limits blow-up points on graphs
Blow-up analysis and a priori bounds for NLS equations on metric graphs
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Degenerate elliptic equations gain optimal boundary C^{1,α} regularity
Sharp regularity for degenerate fully nonlinear equations with oblique boundary conditions and Hamiltonian terms
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Abel equation solutions converge to positive plateaus
Asymptotic Plateaus for Generalized Abel Equations with Financial Applications
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Generalized Abel equations admit exact asymptotic plateaus
Asymptotic Plateaus for Generalized Abel Equations with Financial Applications
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Degenerate parabolic equations satisfy quantitative unique continuation
Quantitative Weak Unique Continuation on Annular Domains for Backward Degenerate Parabolic Equations with Degenerate Interior Points
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Shape design approximation gives Carleman estimate for degenerate PDEs
A Shape Design Approximation for Degenerate Partial Differential Equations and Its Application
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Bessel series convergence proves solution existence in cylinder
An Inverse Source Problem For a Time-Fractional Mixed Wave-Diffusion-Wave Equation in a Cylindrical Domain
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Stiff limit of conservation laws produces new crowd PDE
A stiff limit of non-homogeneous conservation laws for crowd motion modeling