ON THE DEAD-CORE PROBLEM FOR THE p-LAPLACE EQUATION WITH A STRONG ABSORPTION

被引：0
|
作者：
Guo, Jong-Shenq [1 ]
Wu, Chin-Chin [2 ]
机构：
[1] Tamkang Univ, Dept Math, 151 Yingzhuan Rd, New Taipei 25137, Taiwan
[2] Natl Chung Hsing Univ, Dept Appl Math, Taichung 402, Taiwan
来源：
TOHOKU MATHEMATICAL JOURNAL | 2015年 / 67卷 / 04期
关键词：
Dead-core; p-Laplace equation; strong absorption; self-similar solution; POROUS-MEDIUM EQUATION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study an initial boundary value problem for the p-Laplace equation with a strong absorption. We are concerned with the dead-core behavior of the solution. First, some criteria for developing dead-core are given. Also, the temporal dead-core rate for certain initial data is determined. Then we prove uniqueness theorem for the backward self-similar solutions.
引用
收藏
页码：541 / 551
页数：11
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