Reiterated homogenization of nonlinear monotone operators in a general deterministic setting

被引：17

作者：

Lukkassen, Dag ^{[1
,2
]}

Nguetseng, Gabriel ^{[3
]}

Nnang, Hubert ^{[4
]}

Wall, Peter ^{[5
]}

机构：

[1] Narvik Univ Coll, N-8505 Narvik, Norway

[2] Norut Narvik, N-8504 Narvik, Norway

[3] Univ Yaounde I, Dept Math, Yaounde, Cameroon

[4] Univ Yaounde I, Ecole Normale Super, Yaounde, Cameroon

[5] Lulea Univ Technol, Dept Math, S-97187 Lulea, Sweden

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2009年 / 7卷 / 02期

关键词：

Reiterated homogenization; homogenization structures;

D O I：

10.1155/2009/102486

中图分类号：

学科分类号：

摘要：

We study reiterated homogenization of a nonlinear non-periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated E-convergence. A general deterministic homogenization theorem is proved and several concrete examples are studied under various structure hypotheses ranging from the classical periodicity hypothesis to more complicated, but realistic, structure hypotheses.

引用

页码：121 / 152

页数：32

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