Well-posedness of mean curvature flow
Differential Geometry
2026-03-25 v1
Abstract
In this paper, using heat kernel estimates and contraction mapping principle, we give a new proof of the existence and uniqueness of mean curvature flow starting from hypersurface with bounded second fundamental form. Moreover, we show the continuous dependence of mean curvature flow on initial data.
Keywords
Cite
@article{arxiv.2603.22809,
title = {Well-posedness of mean curvature flow},
author = {Yongheng Han},
journal= {arXiv preprint arXiv:2603.22809},
year = {2026}
}
Comments
21pages