Asymptotic behavior of the solution for a diffusive system coupled with localized sources

被引：0

作者：

Li, FC ^{[1
]}

Xue, GH ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2005年 / 12卷 / 06期

关键词：

diffusive system; localized source; blow-up; global existence; blow-tip set; asymptotic behavior of the solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the positive solution of a diffusive system with localized sources: u(t) - Delta u = v(P)(x(0), t), v(t) - Delta v = u(q)(X-0, t) in a bounded domain, p, q >= 1, pq > 1. Under appropriate hypotheses, it is proved that the unique classical solution either exists globally or blows tip in finite time. The authors also obtain its blow-up set and asymptotic behavior.

引用

页码：719 / 730

页数：12

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