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Equadiff 2003 - International Conference on Differential Equations
July 22-26, 2003
LUC Diepenbeek
Hasselt, Belgium

Organizers
Freddy Dumortier (Chair, LUC Diepenbeek), Henk Broer (Univ. Groningen), Jean-Pierre Gossez (Univ. Libre Bruxelles), Jean Mawhin (Univ. Cath. Louvain-la-Neuve), Andre Vanderbauwhede (Univ. Gent), Sjoerd Verduyn Lunel (Univ. Leiden)

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Boundedness of global solutions of supercrtical parabolic equations
by
Marek Fila
Institute of Applied Mathematics, Comenius University, Bratislava
Coauthors: Peter Polacik

We consider radial solutions of a class of semilinear parabolic equations on the ball under Dirichlet boundary condition. We prove that global classical solutions are necessarily bounded, so that blow-up in infinite time is ruled out. This is an extension of earlier results on the super-critical power and exponential nonlinearities.

Date received: June 1, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calo-54.