Sign-changing solutions of the nonlinear heat equation with persistent singularities

DOI10.1051/cocv/2020082zbMath1459.35249arXiv2006.15944OpenAlexW3037618816MaRDI QIDQ5854419

I. P. Naumkin, Thierry Cazenave, Flávio Dickstein, Fred B. Weissler

Publication date: 17 March 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15944

zbMATH Keywords

singular stationary solutionspersistent singularitiessingular self-similar solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Singularity in context of PDEs (35A21) Semilinear parabolic equations (35K58) Singular parabolic equations (35K67) Self-similar solutions to PDEs (35C06)

Related Items (3)

Fujita type results for a quasilinear parabolic inequality of Hardy-Hénon type with time forcing terms ⋮ Existence of sign-changing solutions for the Hénon type parabolic equation with singular initial data ⋮ Existence and blow-up of solutions in Hénon-type heat equation with exponential nonlinearity

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