Immediate regularization after blow-up

Marek Fila, Hiroshi Matano, Peter Polácik

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

We study solutions of some supercritical parabolic equations which blow up in finite time but continue to exist globally in the weak sense. We show that the minimal continuation becomes regular immediately after the blow up time, and if it blows up again, it can only do so finitely many times.

Original languageEnglish (US)
Pages (from-to)752-776
Number of pages25
JournalSIAM Journal on Mathematical Analysis
Volume37
Issue number3
DOIs
StatePublished - May 22 2006

Keywords

  • Blow up
  • Nonlinear heat equation
  • Regularity

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