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Regional blow-up of solutions to the initial boundary value problem for ut = uδ(Δu + u)

Published online by Cambridge University Press:  14 November 2011

Masayoshi Tsutsumi  and
Tetsuya Ishiwata
Masayoshi Tsutsumi
Affiliation:
Department of Applied Physics, Waseda University, Tokyo 169, Japan
Tetsuya Ishiwata
Affiliation:
Department of Applied Physics, Waseda University, Tokyo 169, Japan
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Abstract

Non-negative solutions of the initial boundary value problem for a degenerate parabolic equation are investigated. It is shown that solutions blow up regionally in finite tine. The size of blow-up sets is determined for radially symmetric cases.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 4 , 1997 , pp. 871 - 887
Copyright
Copyright © Royal Society of Edinburgh 1997

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