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.

Some results on anisotropic fractional mean curvature flows

Novaga, Matteo;
2017-01-01

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.
2017
Chambolle, Antonin; Novaga, Matteo; Ruffini, Berardo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/884204
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