Nonexistence of backward self-similar blowup solutions to a supercritical semilinear heat equation

DOI10.1016/j.jfa.2009.07.009zbMath1185.35133OpenAlexW2001135127MaRDI QIDQ734347

Noriko Mizoguchi

Publication date: 20 October 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.07.009

zbMATH Keywords

critical exponentblowupsupercritical elliptic equationbackward self-similar

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

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