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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).
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Control and Systems Engineering
Physical Sciences > Control and Optimization Physical Sciences > Computational Mathematics |
| Uncontrolled Keywords: | Young measures, homogenization |
| Language: | English |
| Date: | 2006 |
| Deposited On: | 05 Jan 2010 14:46 |
| Last Modified: | 07 Jan 2025 04:38 |
| Publisher: | EDP Sciences |
| ISSN: | 1262-3377 |
| Additional Information: | Copyright © 2006 EDP Sciences |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1051/cocv:2005031 |
Anza Hafsa, O