Immediate Regularization after Blow-up

نویسندگان

  • Marek Fila
  • Hiroshi Matano
  • Peter Polácik
چکیده

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.

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 37  شماره 

صفحات  -

تاریخ انتشار 2005