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

页码：953 / 975

页数：23

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