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1754 papers in math.AP · page 11
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Global weak solutions exist for quasi-incompressible two-phase flows
Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential
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Log-epiperimetric inequality gives unique blow-ups for singular free boundaries
Geometric structure of singular free boundary points for the logarithmic obstacle problem
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Known matrix family yields stable boundary recovery of admittivity
The local Calder\'on problem and the determination at the boundary of a complex anisotropic admittivity
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Chagas dispersal operator generates analytic semigroup
Analytic semigroup generated by the dispersal process of a sylvatic transmission model of Chagas disease
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Sea-ice model gains well-posedness via Kelvin-Voigt damping
A mathematical study of an elastic-viscous-plastic sea-ice model with the Kelvin-Voigt rheology
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Radial solution has positive second variation near p=2 for large α
The Neumann problem for the generalized H\'enon equation. Local analysis
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Radial solution is local minimizer for Hénon equation near p=2
The Neumann problem for the generalized H\'enon equation. Local analysis
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2D solutions converge to quadratics under weak perturbation decay
Optimal Asymptotic Behavior at Infinity for Solutions of the Supercritical Lagrangian Mean Curvature Equation in Exterior Domains
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This paper offers an alternative proof that any complete noncompact 4-dimensional…
A note on four dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature
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The paper develops a factorization method to reconstruct the support of compact…
Reconstruction of the Support of an Inhomogeneity for the Fractional Helmholtz Equation
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Benamou-Brenier formula holds for sub-Gaussian measures
A PDE approach to Benamou--Brenier formula for the Schr\"odinger problem
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Nonlinear Markov processes not fixed by one-dimensional marginals
Non-uniqueness of nonlinear Markov processes in the sense of McKean associated with parabolic PDEs
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Linear backstepping observer drives quasilinear heat error to zero
Backstepping Observer for the Quasilinear Heat Equation with Linear Design Gains: Beyond Local Stability
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No nonnegative solutions for (p,q)-Laplace parabolic inequalities under volume growth
On nonnegative solutions of the parabolic differential inequality with $(p,q)$-Laplace on Riemannian manifolds
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Small L4 norm implies boundary regularity for Navier-Stokes weak solutions
Boundary epsilon regularity for incompressible Navier--Stokes equations via weak-strong uniqueness
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Periodic 1D Schrödinger waves bounded by (log N)^{1/6} in L6
Sharp Strichartz estimate for the 1D periodic Schr\"odinger equation
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Fourth-order Schrödinger operators generate analytic semigroups in Lp
Higher order Schr\"odinger operators
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Lipschitz stability recovers 2D Navier-Stokes velocity from initial data
Conditonal Lipschitz stability for the Inverse Problem of the 2D Navier-Stokes System in a Bounded Domain
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PDE models switch for traffic at green and red lights
Mathematical Models of Traffic Flow at a Signalized Intersection
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The paper proves two uniqueness theorems for viscosity solutions of path-dependent…
Path-dependent Hamilton--Jacobi equations: Uniqueness results for viscosity solutions defined via families of compact sets
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Unique recovery of source and initial state from boundary measurement
Uniqueness of simultaneous reconstruction of general space- and time-dependent sources and initial states in fractional diffusion equations and systems from single boundary measurements
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Imperfect-interface solutions converge to perfect ones as resistance vanishes
The transmission problem with imperfect interfaces of small resistance
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Spherical maximal functions reach weak type at L^p-L^q boundary
Boundary estimates for the fractional spherical maximal function
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Flag manifold multiflows have discrete joint resonances
Pollicott-Ruelle Resonances on Flag Manifolds
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Diverging volume sum forces trivial solutions to graph Lane-Emden inequality
Sharp Criteria for the existence of positive solutions to Lane-Emden-type inequalities on weighted graphs
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Spacetime positive mass theorem holds in all dimensions
The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
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Spacetime positive mass theorem holds in all dimensions
The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
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Global weak solutions exist for chemotaxis fluid model of vessel formation
Chemotaxis compressible Navier-Stokes equations with density-dependent viscosity modeling vascular network formation
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Nonlinear p-Laplacian problems gain solutions for all large p
A maximum principle for the $p$-Laplacian, an eigenvalue estimate and a stabilization phenomenon for the large-$p$ regime
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Small coupling yields two positive normalized solutions to critical system
Multiple positive solutions with prescribed masses for a coupled Schr\"odinger system: mass mixed and Sobolev critical coupled case
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Constant ratio linearizes heat equation in varying geometry
Lie symmetry analysis of the nonlinear generalized heat equation for varying cross-section geometry
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PDEs on fractals built by transporting equations from the unit interval
From PDEs on standard domains to self-similar particle systems on fractals
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New inequality decides existence for mass-constrained fractional equations
A generalisation of the Gagliardo--Nirenberg Inequality with applications to mass-critical and mass-subcritical elliptic equations
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PDE conditions replace Mather measures for HJ stability
A PDE formulation of Lyapunov stability for contact-type Hamilton-Jacobi equations
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Fixed-point proof yields stationary solutions for bi-Laplace systems
Existence of stationary solutions for some systems of integro-differential equations with Laplace and bi-Laplace operators
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Segregated interfaces vanish instantly in asymmetric fast reaction limit
Vanishing interfaces in an asymmetric fast reaction limit
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Hölder regularity holds for magnetic Schrödinger equations with singularities
Local regularity for anisotropic magnetic operators with general codimension singularities
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The paper introduces discrete versions of Aubry and Mather sets derived from the discrete…
Semi-Discrete Approximation of Aubry and Mather sets
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Benjamin-Ono equation approximately controllable with 2D input on torus
The Benjamin-Ono equation with 2D control input: approximate controllability and its application
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Optimal hyperthermia controls exist for nonisothermal tumor model
Optimal control for a fourth-order nonisothermal tumor growth model of Caginalp type
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Multi-agent AI produces five original math proofs on open problems
QED: An Open-Source Multi-Agent System for Generating Mathematical Proofs on Open Problems
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Multi-agent system creates proofs for three open math problems
QED: An Open-Source Multi-Agent System for Generating Mathematical Proofs on Open Problems
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Constant scalar curvature forces shrinking Ricci solitons to split
A note on Rigidity of Shrinking Gradient Ricci Solitons with Constant Scalar Curvature
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This survey reviews multiplicity results for Allen-Cahn equations and systems in the…
Survey on topological methods for Allen--Cahn equations and systems
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Unique very weak solutions for heat equation with singular anisotropic diffusivity
Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity
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Branching set in 2D Bernoulli free boundaries is locally finite
Fine structure of the two-phase Bernoulli free boundaries in 2D
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Hartree nonlinearity sets critical exponent at 1+(4+2γ)/(n+2β) for damped waves
A new critical exponent for the semilinear damped wave equation with Hartree-type nonlinearity and initial data from homogeneous Besov spaces
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MHD equations allow global large solutions for small Alfvén numbers
On Global-in-time Solutions of Incompressible MHD Equations with Small Alfv\'en Numbers
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Quadratic blow-ups are unique at free boundary singularities
Uniqueness of Blow-ups for the Superconductivity Free Boundary Problem
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Global strong solutions exist for NSK system in whole space with large data
On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data