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Homogenisation and θ — 2 convergence

Published online by Cambridge University Press:  14 November 2011

Radjesvarane Alexandre
Radjesvarane Alexandre
Affiliation:
MAPMO, URA CNRS 1803, Batiment de Mathématiques, BP 6759, 45067 Orleans, France
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Abstract

We introduce a new concept of convergence for bounded sequences of functions in L2(Ω), called θ – 2 convergence, where Ω is an open set of ℝn and θ a C2 diffeomorphism of ℝn. This tool enables us to deal with homogenisation problems in some nonperiodic perforated domains. In particular, it provides a simple proof, and extensions, of a recent result of M. Briane.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 3 , 1997 , pp. 441 - 455
Copyright
Copyright © Royal Society of Edinburgh 1997

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