## Short time existence of the classical solution to the fractional mean curvature flow

created by lamanna on 28 Jun 2019
modified on 23 Apr 2020

[BibTeX]

Accepted Paper

Inserted: 28 jun 2019
Last Updated: 23 apr 2020

Journal: Annales de l'Institut Henri Poincaré
Year: 2020
Doi: https://doi.org/10.1016/j.anihpc.2020.02.007

Abstract:

We establish short-time existence of the smooth solution to the fractional mean curvature flow when the initial set is bounded and $C^{1,1}$-regular. We provide the same result also for the volume preserving fractional mean curvature flow.