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

Masayoshi Tsutsumi, Tetsuya Ishiwata

Research output: Contribution to journalArticle

10 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)871-887
Number of pages17
JournalRoyal Society of Edinburgh - Proceedings A
Volume127
Issue number4
Publication statusPublished - 1997
Externally publishedYes

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Boundary value problems

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Regional blow-up of solutions to the initial boundary value problem for ut = uδ(Δu + u). / Tsutsumi, Masayoshi; Ishiwata, Tetsuya.

In: Royal Society of Edinburgh - Proceedings A, Vol. 127, No. 4, 1997, p. 871-887.

Research output: Contribution to journalArticle

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