Concentration phenomena in the semilinear parabolic equation

被引：3
作者：
Tan, Z [1 ]
机构：
[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 2001年 / 44卷 / 01期
基金：
中国国家自然科学基金;
关键词：
semilinear parabolic equation; critical Sololev exponent; existence; asymptotic; concentration-compactness principle;
D O I：
10.1007/BF02872281
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of the global, but unbounded solution of the semilinear heat equations with critical Sobolev exponent, and that under some assumptions, the global unbounded classical solution concentrates on origin as t --> infinity.
引用
收藏
页码：40 / 47
页数：8
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