Behavior of solutions of nonlinear parabolic equations with localized reactions

被引：1
|
作者：
Fukuda, I [1 ]
Okada, A
机构：
[1] Kokushikan Univ, Dept Architecture, Setagaya Ku, Tokyo 1548515, Japan
[2] Tokai Univ, Dept Math, Hiratsuka, Kanagawa 2591292, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 05期
关键词：
blow-up; parabolic system; weakly coupled; localized reactions;
D O I：
10.1016/S0362-546X(01)00438-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a weakly coupled parabolic system with localized reactions u(t) = Deltau + v(0,t)(p), v(t) = Deltav + u(0,t)(q). It is shown that the existence of local classical solutions of the initial-boundary value problem for this system. Moreover, the blow-up phenomena and blow-up rates of solutions near the blow-up time are also investigated.
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页码：3215 / 3221
页数：7
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