Some regularity results for anisotropic motion of fronts

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
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Cyril Imbert. Some regularity results for anisotropic motion of fronts. Differential and integral equations, Khayyam Publishing, 2002, 15 (10), pp.1263-1271. ⟨hal-00176521⟩

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