Published Paper

Inserted: 25 mar 2020
Last Updated: 25 jun 2022

Journal: Ann. Scuola Normale Sup. Pisa
Volume: XXIII
Number: 2
Pages: 623-643
Year: 2022

Abstract:

We consider a variational scheme for the anisotropic (including crystalline) mean curvature flow of sets with strictly positive anisotropic mean curvature. We show that such condition is preserved by the scheme, and we prove the strict convergence in $BV$ of the time-integrated perimeters of the approximating evolutions, extending a recent result of De Philippis and Laux to the anisotropic setting. We also prove uniqueness of the flat flow obtained in the limit.

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