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| → ∞.
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页码：109 / 121
页数：13
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