Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition

被引：12
作者：
Fu, SC
Guo, JS
Tsai, JC
机构：
[1] Natl Chengchi Univ, Dept Math Sci, Taipei 116, Taiwan
[2] Natl Taiwan Normal Univ, Dept Math, Taipei 117, Taiwan
来源：
TOHOKU MATHEMATICAL JOURNAL | 2003年 / 55卷 / 04期
关键词：
D O I：
10.2748/tmj/1113247131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the blow-up behaviors of solutions of a semilinear heat equation with a nonlinear boundary condition. Under certain conditions, we prove that the blow-up point occurs only at the boundary. Then, by applying the well-known method of Giga-Kohn, we derive the time asymptotic of solutions near the blow-up time. Finally, we prove that the blow-up is complete.
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收藏
页码：565 / 581
页数：17
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