Global existence and blow-up to a reaction-diffusion system with nonlinear memory

被引：7
|
作者：
Du, LL [1 ]
Mu, CL
Xiang, ZY
机构：
[1] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[3] China W Normal Univ, Dept Math, Nanchong 637002, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2005年 / 4卷 / 04期
关键词：
global existence; blow-up; reaction-diffusion system; nonlinear memory;
D O I：
10.3934/cpaa.2005.4.721
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a reaction-diffusion system coupled by nonlinear memory. Under appropriate hypotheses, we prove that the solution either exists globally or blows up in finite time. Furthermore, the blow-up rate estimates are obtained.
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页码：721 / 733
页数：13
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