Some results on anisotropic fractional mean curvature flows
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🧮 math.NA
math.AP
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convexanisotropicconsistencycurvatureevolutionfractionalmeanalgorithm
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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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