Journal
INTERFACES AND FREE BOUNDARIES
Volume 19, Issue 3, Pages 393-415Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/IFB/387
Keywords
Fractional mean curvature flow; convexity; variational scheme
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Funding
- ANR network HJNet [ANR-12-BS01-0008-01]
- ANR network Geometrya [ANR-12-BS01-0014-01]
- LMH [ANR-11-LABX-0056-LMH]
- University of Pisa [PRA-2015-0017]
- Fondation Mathematique Jacques Hadamard
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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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