Various behaviors of solutions for a semilinear heat equation after blowup
type: Item
instance of: scholarly article
title: Various behaviors of solutions for a semilinear heat equation after blowup
zbMATH Open document ID: 1112.35099
author: Noriko Mizoguchi
published in: Journal of Functional Analysis
publication date: 2005-03-08T00:00:00Z
review text: Three examples of blow-up solutions of a supercritical parabolic equation are given. In all three cases the solutions become regular immediately after blow-up but they behave differently. One solution decays to zero, the second one remains bounded but it does not tend to zero and the third solution grows up.
reviewed by: Marek Fila
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 2141641
zbMATH Keywords: semilinear heat equation
zbMATH Keywords: supercritical nonlinearity
zbMATH Keywords: incomplete blow-up
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.07.004
OpenAlex ID: W2007374104
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DOI: 10.1016/J.JFA.2004.07.004
description: scientific article; zbMATH DE number 2141641