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Some regularity results for anisotropic motion of fronts
Imbert, Cyril
HAL, hal-00176521 / Harvested from HAL
Text on HAL
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
Publié le : 2002-07-05
Classification:  Propagating fronts,  anisotropic mean curvature equation,  level-set approach,  generalized normal directions,  convex fronts,  quasilinear equations,  AMS subject classifications: 35A21,35B65, 35D99,35J60, 35K55, 35R35,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00176521,
     author = {Imbert, Cyril},
     title = {Some regularity results for anisotropic motion of fronts},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00176521}
}

Imbert, Cyril. Some regularity results for anisotropic motion of fronts. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00176521/