Global Solutions, Asymptotic Behavior and Blow-up Problems for Semilinear Heat Equations

被引：0

作者：

王明新 ^{[1
]}

丁夏畦 ^{[1
]}

机构：

[1] Institute of Systems Science Academia Sinica Beijing 100080 PRC

来源：

Science China Mathematics | 1993年 / 04期

关键词：

semilinear heat equations; initial value problems; global solutions; asymptotie behavior; blow-up problems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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

引用

页码：420 / 430

页数：11

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