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A priori and universal estimates for global solutions of superlinear degenerate parabolic equations |
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| Authors: | Philippe Souplet |
| Affiliation: | (1) Département de Mathématiques, INSSET, Université de Picardie, 02109 St-Quentin, France and 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 |
| Abstract: | We prove an a priori estimate and a universal bound for any global solution of the nonlinear degenerate reaction-diffusion equation u t =Δu m +u p in a bounded domain with zero Dirichlet boundary conditions. Received: October 1, 2001?Published online: July 9, 2002 |
| Keywords: | . nonlinear degenerate parabolic equations – global solutions – a priori estimates – universal bounds |
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