A priori and universal estimates for global solutions of superlinear degenerate parabolic equations

被引：0

作者：

Philippe Souplet

机构：

[1] Département de Mathématiques,

[2] INSSET,undefined

[3] Université de Picardie,undefined

[4] 02109 St-Quentin,undefined

[5] France and Laboratoire de Mathématiques Appliquées,undefined

[6] UMR CNRS 7641,undefined

[7] Université de Versailles,undefined

[8] 45 avenue des Etats-Unis,undefined

[9] 78035 Versailles,undefined

[10] France,undefined

[11] e-mail: souplet@math.uvsq.fr,undefined

来源：

Annali di Matematica Pura ed Applicata | 2002年 / 181卷

关键词：

Key words. nonlinear degenerate parabolic equations – global solutions – a priori estimates – universal bounds; Mathematics Subject Classification (2000). 35K60, 35K65, 35B45;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove an a priori estimate and a universal bound for any global solution of the nonlinear degenerate reaction-diffusion equation ut=Δum+up in a bounded domain with zero Dirichlet boundary conditions.

引用

页码：427 / 436

页数：9

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