Singularity formation and regularization at multiple times in the viscous Hamilton–Jacobi equation

DOI10.3233/ASY-221813zbMath1529.35401arXiv2007.12114OpenAlexW4310686354MaRDI QIDQ6094856

Philippe Souplet, Noriko Mizoguchi

Publication date: 14 September 2023

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12114

zbMATH Keywords

stochastic controlviscosity solutionscritical parametersgradient blow-upviscous Hamilton-Jacobi equationloss and recovery of boundary conditionszero-numbermultiple time singularities

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Maximum principles in context of PDEs (35B50) Identification in stochastic control theory (93E12) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Hamilton-Jacobi equations (35F21) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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