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Some results on anisotropic fractional mean curvature flows

Published 23 Mar 2016 in math.NA and math.AP | (1603.07239v1)

Abstract: We show the consistency of a threshold dynamics type algorithm for the anisotropic motion by fractional mean curvature, in the presence of a time dependent forcing term. Beside the consistency result, we show that convex sets remain convex during the evolution, and the evolution of a bounded convex set is uniquely defined.

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