Reiterated homogenization of nonlinear monotone operators in a general deterministic setting

Reiterated homogenization of nonlinear monotone operators in a general deterministic setting

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 Σ-convergence. A general deterministic homoge...

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Main Authors: Dag Lukkassen, Gabriel Nguetseng, Hubert Nnang, Peter Wall
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2009/102486
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spelling doaj-70d59b83a39c46edb0828f2ed34870042020-11-24T21:39:41ZengHindawi LimitedJournal of Function Spaces and Applications0972-68022009-01-017212115210.1155/2009/102486Reiterated homogenization of nonlinear monotone operators in a general deterministic settingDag Lukkassen0Gabriel Nguetseng1Hubert Nnang2Peter Wall3Narvik University College, P.O. Box 385, N-8505 Narvik, NorwayDepartment of Mathematics, University of Yaounde I, P.O. Box 812 Yaounde, CameroonUniversity of Yaounde I, Ecole Normale Supérieure, P.O. Box 47 Yaounde, CameroonDepartment pf Mathematics, Luleå Technological University, S-97187 Luleå, SwedenWe 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 Σ-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.http://dx.doi.org/10.1155/2009/102486
collection DOAJ
language English
format Article
sources DOAJ
author Dag Lukkassen
Gabriel Nguetseng
Hubert Nnang
Peter Wall
spellingShingle Dag Lukkassen
Gabriel Nguetseng
Hubert Nnang
Peter Wall
Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
Journal of Function Spaces and Applications
author_facet Dag Lukkassen
Gabriel Nguetseng
Hubert Nnang
Peter Wall
author_sort Dag Lukkassen
title Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
title_short Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
title_full Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
title_fullStr Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
title_full_unstemmed Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
title_sort reiterated homogenization of nonlinear monotone operators in a general deterministic setting
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
publishDate 2009-01-01
description 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 Σ-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.
url http://dx.doi.org/10.1155/2009/102486
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AT gabrielnguetseng reiteratedhomogenizationofnonlinearmonotoneoperatorsinageneraldeterministicsetting
AT hubertnnang reiteratedhomogenizationofnonlinearmonotoneoperatorsinageneraldeterministicsetting
AT peterwall reiteratedhomogenizationofnonlinearmonotoneoperatorsinageneraldeterministicsetting
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