Immediate regularization after blow-up

Marek Fila, Hiroshi Matano, Peter Polácik

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


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
Issue number3
StatePublished - May 22 2006


  • Blow up
  • Nonlinear heat equation
  • Regularity


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