Homogenization of the Poisson Equation in a Thick Periodic Junction

被引：0
|
作者：
Mel'nyk, T. A. [1 ]
机构：
[1] Inst Math A Univ, D-70511 Stuttgart, Germany
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1999年 / 18卷 / 04期
关键词：
Homogenization; asymptotic estimates; extension operators;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
convergence theorem and asymptotic estimates as epsilon -> 0 are proved for a solution to a mixed boundary-value problem for the Poisson equation in a junction Omega(e) of a domain Omega(0) and a large number N-2 of epsilon-periodically situated thin cylinders with thickness of order e = O(1/N) For this junction, we construct an extension operator and study its properties.
引用
收藏
页码：953 / 975
页数：23
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