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

created by lamanna on 28 Jun 2019

[BibTeX]

Preprint

Inserted: 28 jun 2019
Last Updated: 28 jun 2019

Year: 2019

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.