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1 LATP - Laboratoire d-Analyse, Topologie, Probabilités

Abstract : 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

Keywords : Propagating fronts anisotropic mean curvature equation level-set approach generalized normal directions convex fronts quasilinear equations

Autor: Cyril Imbert -



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