On the evolution by fractional mean curvature
Analysis of PDEs
2019-04-01 v4 Differential Geometry
Abstract
In this paper we study smooth solutions to a fractional mean curvature flow equation. We establish a comparison principle and consequences such as uniqueness and finite extinction time for compact solutions. We also establish evolutions equations for fractional geometric quantities that yield preservation of certain quantities (such as positive fractional curvature) and smoothness of graphical evolutions.
Keywords
Cite
@article{arxiv.1511.06944,
title = {On the evolution by fractional mean curvature},
author = {Mariel Sáez and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1511.06944},
year = {2019}
}
Comments
minor corrections