Blow-up and regularization rates, loss and recovery of boundary conditions for the superquadratic viscous Hamilton-Jacobi equation

DOI10.1016/j.matpur.2019.02.014zbMath1437.35112arXiv1811.01612OpenAlexW2964264023WikidataQ128315197 ScholiaQ128315197MaRDI QIDQ2281150

Alessio Porretta, Philippe Souplet

Publication date: 19 December 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01612

zbMATH Keywords

gradient blow-uploss of boundary conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Continuation and prolongation of solutions to PDEs (35B60) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (11)

Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms ⋮ Nonlocal Bertrand and Cournot mean field games with general nonlinear demand schedule ⋮ Continuation beyond interior gradient blow-up in a semilinear parabolic equation ⋮ Singularity formation and regularization at multiple times in the viscous Hamilton–Jacobi equation ⋮ Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations ⋮ Gradient blowup behavior for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity ⋮ A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton–Jacobi equations ⋮ Infinite-time concentration in aggregation-diffusion equations with a given potential ⋮ Existence results to a class of nonlinear parabolic systems involving potential and gradient terms ⋮ Singular Neumann Boundary Problems for a Class of Fully Nonlinear Parabolic Equations in One Dimension ⋮ Complete classification of gradient blow-up and recovery of boundary condition for the viscous Hamilton-Jacobi equation

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