Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equation in domains with non-constant curvature

DOI10.1016/j.matpur.2019.12.006zbMath1450.35077arXiv1902.03080OpenAlexW2994105447WikidataQ126575633 ScholiaQ126575633MaRDI QIDQ1989418

Carlos Esteve

Publication date: 21 April 2020

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

Full work available at URL: https://arxiv.org/abs/1902.03080

zbMATH Keywords

diffusive Hamilton-Jacobi equationlocal estimatesboundary-fitted coordinatesisolated blow-up points

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Hamilton-Jacobi equations (35F21)

Related Items (3)

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 ⋮ Complete classification of gradient blow-up and recovery of boundary condition for the viscous Hamilton-Jacobi equation

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