 |
|
|
|
| HAL: hal-00176521, version 1 |
| Detailed view |  Export this paper |
|
|
| Differential and integral equations 15, 10 (2002) 1263-1271 |
|
|
|
|
| Some regularity results for anisotropic motion of fronts |
|
|
| Cyril Imbert 1 |
|
|
| (2002) |
|
|
|
| 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 |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
|
|
|
CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Analysis of PDEs |
|
|
| Propagating fronts – anisotropic mean curvature equation – level-set approach – generalized normal directions – convex fronts – quasilinear equations |
|
|
|
| Attached file list to this document: | |||||
|
|||||
|
|
|
| hal-00176521, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00176521 | |
| oai:hal.archives-ouvertes.fr:hal-00176521 | |
| From: Cyril Imbert | |
| Submitted on: Wednesday, 3 October 2007 17:06:00 | |
| Updated on: Wednesday, 3 October 2007 17:25:53 | |
