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Reiterated homogenization of nonlinear monotone operators in a general deterministic setting

Abstract

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.

Category

Academic article

Language

English

Author(s)

  • Dag Lukkassen
  • Gabriel Nguetseng
  • Hubert Nnang
  • Peter Wall

Affiliation

  • SINTEF Narvik
  • Luleå University of Technology
  • UiT The Arctic University of Norway
  • University of Yaoundé I

Year

2009

Published in

Journal of Function Spaces and Applications

ISSN

0972-6802

Volume

7

Issue

2

Page(s)

121 - 152

View this publication at Norwegian Research Information Repository