Some regularity results for anisotropic motion of frontsReport as inadecuate




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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





Author: Cyril Imbert -

Source: https://hal.archives-ouvertes.fr/



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