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

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Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

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.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Comenius University, Mlynská dolina, 842 15 Bratislava, Slovakia, e-mail: fila@fmph.uniba.sk, , , , , , SK

    Marek Fila

  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.fr, , , , , , FR

    Philippe Souplet

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  1. Marek Fila
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  2. Philippe Souplet
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Received May 2000

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Fila, M., Souplet, P. The blow-up rate for semilinear parabolic problems on general domains. NoDEA, Nonlinear differ. equ. appl. 8, 473–480 (2001). https://doi.org/10.1007/PL00001459

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  • DOI: https://doi.org/10.1007/PL00001459

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