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.

引用

页码：3215 / 3221

页数：7

共 9 条

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