Archive for Rational Mechanics and Analysis

, Volume 114, Issue 1, pp 57–77 | Cite as

Blow-up at the boundary for degenerate semilinear parabolic equations

  • M. S. Floater
Article

Abstract

This paper treats a superlinear parabolic equation, degenerate in the time derivative. It is shown that the solution may blow up in finite time. Moreover, it is proved that for a large class of initial data, blow-up occurs at the boundary of the domain when the nonlinearity is no worse than quadratic. Various estimates are obtained which determine the asymptotic behaviour near the blow-up. The mathematical analysis is then extended to equations with other degeneracies.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • M. S. Floater
    • 1
  1. 1.Senter for IndustriforskningOslo 1Norway

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