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.
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页码：420 / 430
页数：11
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