| Type de publication : |
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Preprint, Working Paper, Document sans référence, etc. |
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| Domaine : |
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Mathématiques/Optimisation et contrôle
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| Titre : |
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A coarea-type formula for the relaxation of a generalized elastica functional |
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| Auteur(s) : |
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Simon Masnou ( ) 1, Giacomo Nardi ( ) 2 |
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| Laboratoire : |
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| Équipe de recherche : |
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MMCS |
| Résumé : |
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We consider in R^2 the generalized elastica functional defined, for smooth functions, as the p-elastica energies of the level lines integrated over all levels. Extending the functional to L1, we study its L1-lower semicontinuous envelope and we prove that, for any u in BV, the envelope at u can be represented by a coarea-type formula involving suitable collections of W2,p curves that cover the essential boundaries of the level sets of u. |
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Langue du texte
intégral : |
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Anglais |
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Date de production,
écriture : |
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06/12/2011 |
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| Mots Clés : |
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elastica – curvature – relaxation – BV |
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| Classification : |
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26A45, 49J45, |
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| Commentaire : |
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34 pages |
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| Projet ANR : |
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| Référence du projet |
ANR07-JCJC-0048-01 (FREEDOM) |
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