Blow up behavior of solutions for a semilinear heat equation with supercritical nonlinearity

DOI10.1016/j.jde.2004.03.001zbMath1072.35043OpenAlexW2060241233MaRDI QIDQ704219

Noriko Mizoguchi

Publication date: 13 January 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.001

zbMATH Keywords

semilinear heat equationselfsimilar solutionsupercritical nonlinearityblow up ratenonexistence resultbackward selfsimilar solutionstype II blow up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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