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| HAL : hal-00417461, version 1 |
| arXiv : 0909.2930 |
| Fiche détaillée |  Récupérer au format |
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| A Modica-Mortola approximation for branched transport |
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| Filippo Santambrogio 1 |
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| (03/2009) |
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| The M^\alpha energy which is usually minimized in branched transport problems among singular 1-dimensional rectifiable vector measures with prescribed divergence is approximated (and convergence is proved) by means of a sequence of elliptic energies, defined on more regular vector fields. The procedure recalls the Modica-Mortola one for approximating the perimeter, and the double-well potential is replaced by a concave power. |
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| 1 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
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| Domaine | : | Mathématiques/Optimisation et contrôle |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00417461, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00417461 | |
| oai:hal.archives-ouvertes.fr:hal-00417461 | |
| Contributeur : Filippo Santambrogio | |
| Soumis le : Mercredi 16 Septembre 2009, 01:17:24 | |
| Dernière modification le : Mercredi 16 Septembre 2009, 08:26:54 | |
