Geodesic
Some results on anisotropic fractional mean curvature flows
Antonin Chambolle1 orcid ; Matteo Novaga2 orcid ; Berardo Ruffini3 orcid
1Ecole Polytechnique, Palaiseau, France
2Università di Pisa, Italy
3Université de Montpellier, France
Interfaces and free boundaries, Tome 19 (2017) no. 3, pp. 393-415

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DOI

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.
DOI : 10.4171/ifb/387
Classification : 53-XX, 34-XX
Mots-clés : Fractional mean curvature flow, convexity, variational scheme

Antonin Chambolle  1   ; Matteo Novaga  2   ; Berardo Ruffini  3

1 Ecole Polytechnique, Palaiseau, France
2 Università di Pisa, Italy
3 Université de Montpellier, France 
Antonin Chambolle; Matteo Novaga; Berardo Ruffini. Some results on anisotropic fractional mean curvature flows. Interfaces and free boundaries, Tome 19 (2017) no. 3, pp. 393-415. doi: 10.4171/ifb/387
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     title = {Some results on anisotropic fractional mean curvature flows},
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     pages = {393--415},
     year = {2017},
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     number = {3},
     doi = {10.4171/ifb/387},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/387/}
}
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