Global existence and blow-up of solutions for a semilinear parabolic system
type: Item
instance of: scholarly article
title: Global existence and blow-up of solutions for a semilinear parabolic system
zbMATH Open document ID: 0939.35087
author: Shaohua Chen
author: W. Derrick
published in: Rocky Mountain Journal of Mathematics
publication date: 2000-06-26T00:00:00Z
full work available at URL: CONT29-2.html
review text: The Dirichlet problem for a semilinear parabolic system with a superlinear source term is considered. It is shown that solutions starting below a positive steady state are global while solutions starting above it blow up in finite time.
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1356449
zbMATH Keywords: superlinear source term
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: positive steady state
reviewed by: Marek Fila
MaRDI profile type: Publication
OpenAlex ID: W1983942161
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DOI: 10.1216/RMJM/1181071644
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description: scientific article; zbMATH DE number 1356449