Solutions in Morrey spaces of some semilinear heat equations with time-dependent external forces

被引：0
|
作者：
Zhou, XF [1 ]
机构：
[1] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China
来源：
NAGOYA MATHEMATICAL JOURNAL | 2004年 / 174卷
关键词：
D O I：
10.1017/S0027763000008825
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the Cauchy problem for some semilinear heat equations with time-dependent external forces. Both the external force and the initial data are assumed to be small in some Morrey spaces. We first prove the unique existence of a small time-global solution. We next show the stability of that solution by proving the time-global sovability of perturbation problems.
引用
收藏
页码：127 / 163
页数：37
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