Uniform blow-up rate for a nonlocal degenerate parabolic equations

被引：7
|
作者：
Liu Qilin [1 ]
Li Yuxiang
Gao Hongjun
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 04期
关键词：
degenerate parabolic equation; nonlocal reaction; finite time blow-up; uniform blow-up rate;
D O I：
10.1016/j.na.2005.12.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new method for investigating the rate of blow-up of solutions of diffusion equations with nonlocal nonlinear reaction terms. In some cases, we prove that the solutions have global blow-up and the rate of blow-up is uniform in all compact subsets of the domain. In each case, the blow-up rate of vertical bar u(t)vertical bar infinity is precisely determined. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：881 / 889
页数：9
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