Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation
type: Item
instance of: scholarly article
title: Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation
zbMATH Open document ID: 1197.35150
author: Peter Poláčik
author: Eiji Yanagida
published in: Journal of Dynamics and Differential Equations
publication date: 2009-07-06T00:00:00Z
review text: The Cauchy problem for a semilinear heat equation with a supercritical power nonlinearity is considered. It is shown that solutions whose initial values decay in an anisotropic way converge to steady states which are explicitly determined by an average formula.
reviewed by: Marek Fila
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B33
zbMATH DE Number: 5576017
zbMATH Keywords: semilinear parabolic equation
zbMATH Keywords: supercritical nonlinearity
zbMATH Keywords: anisotropic decay
zbMATH Keywords: convergence of solutions
zbMATH Keywords: supercritical power nonlinearity
zbMATH Keywords: average formula
MaRDI profile type: Publication
Wikidata QID: Q115383582
full work available at URL: s10884-009-9136-7
OpenAlex ID: W2087094769
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DOI: 10.1007/S10884-009-9136-7
description: scientific article; zbMATH DE number 5576017