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.

引用

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页码：565 / 581

页数：17

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