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| HAL : hal-00369367, version 1 |
| DOI : 10.1051/cocv:2008048 |
| Fiche détaillée |  Récupérer au format |
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| ESAIM - Control Optimisation and Calculus of Variations (2008) 2008048 |
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| A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources |
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Gisella Croce 1Catherine Lacour 2 |
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| Gisella Croce, Catherine Lacour and Gerard Michaille Collaboration(s) |
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| (2008) |
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| We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order ${1\over \sqrt \varepsilon}$ concentrated on an $\varepsilon$-neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures. |
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| 1 : | Laboratoire de Mathématiques Appliquées du Havre (LMAH) |
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Université du Havre |
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| 2 : | Analyse, Calcul Scientifique Industriel et Optimisation de Montpellier (ACSIOM) |
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CNRS : FRE2311 – Université Montpellier II - Sciences et techniques |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Gradient Young measures – concentration measures – minimization problems – quasiconvexity |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00369367, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00369367 | |
| oai:hal.archives-ouvertes.fr:hal-00369367 | |
| Contributeur : Catherine Lacour | |
| Soumis le : Jeudi 19 Mars 2009, 18:06:59 | |
| Dernière modification le : Dimanche 5 Avril 2009, 16:20:06 | |
