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Research Report MRR99-001

Some remarks on the level set flow by anisotropic curvature

Yoshihiro Tonegawa

Abstract: We show that almost all level sets of the unique viscosity solution for general anisotropic mean curvature flow satisfy a weak form of the flow equation. This generalizes the case of isotropic mean curvature flow studied by Evans and Spruck, in which a relation between the viscosity solution and Brakke's varifold mean curvature flow is established.

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