Finite time dead-core rate for the heat equation with a strong absorption

被引：21

作者：

Guo, Jong-Shenq ^{[1
]}

Wu, Chin-Chin ^{[1
]}

机构：

[1] Natl Taiwan Normal Univ, Dept Math, Taipei 116, Taiwan

来源：

TOHOKU MATHEMATICAL JOURNAL | 2008年 / 60卷 / 01期

关键词：

D O I：

10.2748/tmj/1206734406

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the solution of the heat equation with a strong absorption. It is well-known that the solution develops a dead-core in finite time for a large class of initial data. It is also known that the exact dead-core rate is faster than the corresponding self-similar rate. By using the idea of matching, we formally derive the exact dead-core rates under a dynamical theory assumption. Moreover, we also construct some special solutions for the corresponding Cauchy problem satisfying this dynamical theory assumption. These solutions provide some examples with certain given polynomial rates.

引用

页码：37 / 70

页数：34

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