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

页码：881 / 889

页数：9

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