Gradient Estimates for the Perfect and Insulated Conductivity Problems with Multiple Inclusions

被引：69
|
作者：
Bao, Ellen Shiting [2 ]
Li, Yan Yan [1 ]
Yin, Biao [3 ]
机构：
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[3] Univ Connecticut, Dept Math, Storrs, CT USA
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 35卷 / 11期
关键词：
Conductivity problem; Gradient estimates; FIELDS; FIBERS;
D O I：
10.1080/03605300903564000
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the perfect and the insulated conductivity problems with multiple inclusions imbedded in a bounded domain in n, n epsilon 2. For these two extreme cases of the conductivity problems, the gradients of their solutions may blow up as two inclusions approach each other. We establish the gradient estimates for the perfect conductivity problems and an upper bound of the gradients for the insulated conductivity problems in terms of the distances between any two closely spaced inclusions.
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页码：1982 / 2006
页数：25
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