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| HAL : hal-00176521, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Differential and integral equations 15, 10 (2002) 1263-1271 |
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| Some regularity results for anisotropic motion of fronts |
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| Cyril Imbert 1 |
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| (2002) |
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| We study the regularity of propagating fronts whose motion is anisotropic. We prove that there is at most one normal direction at each point of the front; as an application, we prove that convex fronts are C^{1,1}. These results are by-products of some necessary conditions for viscosity solutions of quasilinear elliptic equations. Besides, these conditions imply some regularity for viscosity solutions of nondegenerate quasilinear elliptic equations |
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| 1 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Propagating fronts – anisotropic mean curvature equation – level-set approach – generalized normal directions – convex fronts – quasilinear equations |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00176521, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00176521 | |
| oai:hal.archives-ouvertes.fr:hal-00176521 | |
| Contributeur : Cyril Imbert | |
| Soumis le : Mercredi 3 Octobre 2007, 17:06:00 | |
| Dernière modification le : Mercredi 3 Octobre 2007, 17:25:53 | |
