Extension of two-dimensional mean curvature flow with free boundary
Differential Geometry
2018-07-10 v1
Abstract
Given a mean curvature flow of compact, embedded surfaces satisfying Neumann free boundary condition on a mean convex, smooth support surface in 3-dimensional Euclidean space, we show that it can be extended as long as its mean curvature and perimeter stay uniformly bounded along the flow.
Keywords
Cite
@article{arxiv.1807.02922,
title = {Extension of two-dimensional mean curvature flow with free boundary},
author = {Siao-Hao Guo},
journal= {arXiv preprint arXiv:1807.02922},
year = {2018}
}