Large time behavior and stability of equilibria of degenerate parabolic equations

被引：0

作者：

Winkler M. ^{[1
]}

机构：

[1] Department of Mathematics I, RWTH Aachen

来源：

Journal of Dynamics and Differential Equations | 2005年 / 17卷 / 2期

关键词：

ω-limit set; Asymptotic behavior; Degenerate diffusion; Stability;

D O I：

10.1007/s10884-005-3142-1

中图分类号：

学科分类号：

摘要：

The article deals with positive solutions of the Dirichlet problem for u_{t} = f(u)(Δ u + g(u)) in Ω × (0,∞), where f(s)>0 for s>0 and f(0)=0. The asymptotic behavior of solutions is discussed for a rather large class of g. For g regular near zero, stability properties of equilibria are investigated. © 2005 Springer Science+Business Media, Inc.

引用

页码：331 / 351

页数：20

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