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| HAL : hal-00001261, version 1 |
| arXiv : math.FA/0403158 |
| DOI : 10.1007/s00030-006-4030-z |
| Fiche détaillée |  Récupérer au format |
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| NoDEA Nonlinear Differential Equations and Applications 14, 1-2 (2007) 29-55 |
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| On Absolutely Minimizing Lipschitz Extensions and PDE $\Delta_infty = 0$ |
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| Erwan Le Gruyer 1 |
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| (2007) |
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| We prove the existence of Absolutely Minimizing Lipschitz Extensions by a method which differs from those used by G. Aronsson in general metrically convex compact metric spaces and R. Jensen in Euclidean spaces. Assuming Jensen's hypotheses, our method yields numerical schemes for computing, in euclidean $\mathbb R$, the solution of viscosity of equation $\Delta_\infty=0$ with Dirichlet's condition. |
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| 1 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Domaine | : | Mathématiques/Analyse fonctionnelle |
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| absolutely minimizing Lipschitz extensions – viscosity solution – infinity Laplacian |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00001261, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00001261 | |
| oai:hal.archives-ouvertes.fr:hal-00001261 | |
| Contributeur : Marie-Annick Guillemer | |
| Soumis le : Mardi 9 Mars 2004, 17:16:40 | |
| Dernière modification le : Mercredi 1 Avril 2009, 16:41:32 | |
