The blow-up rate for semilinear parabolic problems on general domains

  • Marek Fila
  • Philippe Souplet

Abstract.

We derive results on blow-up rates for parabolic equations and systems from Fujita-type theorems. We complement a previous study by allowing (possibly unbounded) domains with boundary.

Key words: Parabolic equations, blow-up rate. 

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Copyright information

© Birkhäuser Verlag, Basel, 2001

Authors and Affiliations

  • Marek Fila
    • 1
  • Philippe Souplet
    • 2
  1. 1.Institute of Applied Mathematics, Comenius University, Mlynská dolina, 842 15 Bratislava, Slovakia, e-mail: fila@fmph.uniba.skSK
  2. 2. Département de Mathématiques, INSSET, Université de Picardie, 02109 St-Quentin, France, Laboratoire de Mathématiques Appliquées, UMR CNRS 7641, Université de Versailles, 45 avenue des Etats-Unis, 78035 Versailles, France, e-mail: souplet@math.uvsq.frFR

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