GLOBAL-SOLUTIONS, ASYMPTOTIC-BEHAVIOR AND BLOW-UP PROBLEMS FOR SEMILINEAR HEAT-EQUATIONS

被引：0

作者：

WANG, MX

DING, XQ

机构：

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1993年 / 36卷 / 04期

关键词：

SEMILINEAR HEAT EQUATIONS; INITIAL VALUE PROBLEMS; GLOBAL SOLUTIONS; ASYMPTOTIC BEHAVIOR; BLOW-UP PROBLEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of global solutions, asymptotic behavior and the L(p) blow-up of non-global solutions to the initial value problem [GRAPHICS] are studied. We consider only the case: 1 < gamma < (n + 2)/(n - 2). It is proved that the properties of the solutions depend only on the relations between the initial data phi(x) and the unique positive equilibrium solution. The threshold is obtained.

引用

页码：420 / 430

页数：11

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