Asymptotic behaviour of solutions of a degenerate parabolic equation

被引：6

作者：

Kwak, M ^{[1
]}

Yu, K ^{[1
]}

机构：

[1] Chonnam Natl Univ, Dept Math, Kwangju 500757, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 45卷 / 01期

关键词：

asymptotic behaviour of solutions; a degenerate parabolic equation; initial value problem;

D O I：

10.1016/S0362-546X(99)00333-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The asymptotic behavior of nonnegative solutions of the following equations: ut = δpu - |u|q-1u in Q = RN × (0,∞), u(x,0) = φ(x), was studied where δpu=div(|∇u|p-2∇u), with p > 2N/(N + 1), N ≥ 1, max {1, p-1} < q < p - 1 + p/N and φ is a given nonnegative initial function. The long time behavior of nonnegative solutions is classified by a class of solutions with self-similarity depending on the parameters p,q and the asymptotic behavior of φ(x) as |x| → ∞.

引用

页码：109 / 121

页数：13

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