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1754 papers in math.AP · page 10
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Bang-bang controls produce smooth free boundaries
Unstable free boundary problems in optimal control theory: existence and regularity
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Symmetry degree quantifies second-harmonic multipoles in nanowires
Quantitative symmetry-breaking and nonlinear harmonic generation in plasmonics
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Entropy solutions arise as limits of nonlocal conservation laws
Nonlocal Approximation Principle for Entropy Solutions of Scalar Conservation Laws
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Hyperbolic catenoid nullity jumps to 3 at radius critical points
Robin nullity and asymptotic geometry of the critical hyperbolic catenoid
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Robin nullity reaches at least 3 at critical hyperbolic catenoids
Robin nullity and asymptotic geometry of the critical hyperbolic catenoid
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Catenoids gain extra kernel at radius critical points
Robin nullity and asymptotic geometry of the critical hyperbolic catenoid
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Variable beam equations approach self-similar parabolic profiles
Asymptotic profiles for the Cauchy problem of semilinear beam equation with two variable coefficients in the subcritical case
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KdV obeys large deviations principle for extremes over polynomial times
Almost global large deviations principle for the KdV equation
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Quasilinear PDEs gain unique bounded weak solutions from bounded data
Existence and uniqueness of weak solutions to quasilinear PDEs with critical data
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Smooth Euler solutions blow up at vacuum boundary
Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations
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Quantum evolution approximates classical electrodynamics as ħ vanishes
Classical limit of the Pauli-Fierz dynamics
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Structure-preserving method controls Maxwell waves for cloaking
Structure-Preserving Optimal Control of Maxwell's Equations with Applications to Source Cloaking
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Viscous approximations yield eternal solutions near shocks after rescaling
Local Asymptotic Patterns for Viscous Approximations of Conservation Laws
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Keller-Segel solutions in n≥3 form Dirac masses gradually
Formation and Behavior of Dirac Singularities in the Parabolic-Elliptic Keller-Segel System in Dimensions $n\geq 3$
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Successive approximations converge for non-Lipschitz evolution equations
Nonlinear evolution equations with a non-Lipschitz perturbation: convergence of successive approximations and uniqueness of solutions
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Nonlinear JMGT coefficient fixed uniquely by boundary measurements
Gauge symmetry and uniqueness in inverse problems for the JMGT equation
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Global weak solutions exist for 3D thermo-viscoelastic Giesekus flows
On three-dimensional flows of thermo-viscoelastic fluids of Giesekus type
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Liouville solutions classified on nonnegative Ricci surfaces
Classification results of Liouville equations and rigidity of Riemannian surfaces
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Stein's square function L^p-bounded above d-threshold on Métivier groups
Stein's square function associated with the Bochner-Riesz means on M\'etivier groups and its applications
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Time-discrete scheme preserves frame indifference in thermoviscoelasticity
Frame-indifferent discretization in nonlinear thermoviscoelasticity: Analysis and numerical simulations
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Fast Markov switching turns stochastic Robin heat equation deterministic
Time-dependent Robin heat equation via Markovian switching
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Characteristics yield L∞ damping for 1D relaxation systems
Nonlocalised damping estimates for hyperbolic relaxation systems in one space dimensions
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Gårding polynomials extend real stability to more matroid functions
G{\aa}rding Polynomials
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Gårding polynomials extend real stable class to new matroids
G{\aa}rding Polynomials
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Small swirl yields long lifespan for axisymmetric Hall-MHD
On the Lifespan of Axisymmetric Hall-MHD with Swirl
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Two Hamilton-Jacobi theories for dissipative field theories via k-contact geometry
Hamilton--Jacobi theory for non-conservative field theories in the $k$-contact framework
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Pulses approximate near diffractive points of any order
Propagation of nonlinear pulses near diffractive points of any order
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Nonlocal minimal surfaces must be flat in half-spaces
A half-space theorem for nonlocal minimal surfaces
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Concentrated mass triggers finite-time blow-up in |x|^β chemotaxis
Finite-time blow-up in a class of chemotaxis systems with spatially heterogeneous diffusion sensitivity
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Freidlin-Gärtner formula sets the shape of spreading fronts in periodic media
Freidlin-G\"artner formula and asymptotic profile in reaction-diffusion equations
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Renormalized solutions exist without coercivity on lower-order term
Renormalized Solutions for a Class of Nonlinear Parabolic Equation with a Lower Order Term and Variable Exponents
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Origin regularity in soda can domains fully settled for heat equation
Barriers, Barenblatt solutions and regularity of soda can domains for the heat equation and nonlinear $p$-parabolic equations
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Existence of minimizers depends on masses and distances between poles
On fractional critical problems with multi-polar Hardy potentials
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Constrained energy minimizers define unique multiphase quadrature domains
Multiphase quadrature domains (existence and uniqueness)
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Multi-peak solutions exist for mass-constrained coupled NLS systems
Existence and Uniqueness of Normalized Multi-peak Solutions for Coupled Nonlinear Schr\"odinger Systems
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Surrogate interface enables first-order cohesive simulations
A Shifted Cohesive-Zone Method for Non-Interface-Fitted Meshes with Applications to Crystal Plasticity
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Unique recovery of anisotropic elasticity perturbations from scattering data
Determination of an anisotropic perturbation in elastic inverse scattering
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Lipschitz stability for polygonal conductivity inclusions
Lipschitz Stability in the Simultaneous Determination of Polygonal Inclusions and Constant Conductivities
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Polygonal inclusions recovered with Lipschitz stability from boundary data
Lipschitz Stability in the Simultaneous Determination of Polygonal Inclusions and Constant Conductivities
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Anchored filament motion reduces to fractional Laplacian with fixed ends
Anchored Peskin Problem
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Distant players can be ignored for accurate strategies in sparse games
On the unimportance of distant players in sparse stochastic differential network games
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Adhesion strength decides if tissues invade smoothly or fragment
Theory of adhesion-driven self-organisation in growing tissues
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The paper proves that a Lipschitz free boundary with small enough Lipschitz constant for…
$C^1$-Regularity of the Free Boundary for Hele-Shaw Flow with Source and Drift
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This paper proves global boundedness of classical solutions for a 2D chemotaxis PDE model…
Global boundedness and asymptotic behavior of the chemotaxis system for Alopecia Areata with weakly singular sensitivity
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Nonlocal conservation laws with memory converge to memoryless as retention shrinks
Systems of Nonlocal Conservation Laws with Memory and Their Zero Retention Limit
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The paper proves linear stability for three-dimensional relativistic plasma-vacuum…
Stability and existence of relativistic plasma--vacuum interfaces
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The paper designs a spectral boundary observer for a counter-flow heat exchanger modeled…
Spectral Boundary Observer for Counter-Flow Heat Exchangers
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Perturbed balls reverse order of affine quermassintegrals
On the monotonicity of affine quermassintegrals
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The paper proves that for p at least 4 and suitable initial probability densities
Probabilistic representation of solutions to the parabolic $p$-Laplace equation
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Initial-data gauge fix yields Hadamard states for Maxwell on curved spacetime
On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing