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Homogenization of periodic nonconvex integral functionals in terms of Young measures


Anza Hafsa, O; Mandallena, J-P; Michaille, G (2006). Homogenization of periodic nonconvex integral functionals in terms of Young measures. ESAIM: Control, Optimisation and Calculus of Variations, 12(1):35-51 (electronic).

Abstract

Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the -limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one.

Abstract

Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the -limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Young measures, homogenization
Language:English
Date:2006
Deposited On:05 Jan 2010 14:46
Last Modified:21 Nov 2017 14:21
Publisher:EDP Sciences
ISSN:1262-3377
Additional Information:Copyright © 2006 EDP Sciences
Publisher DOI:https://doi.org/10.1051/cocv:2005031

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