Mean Curvature Flow with Boundary
Differential Geometry
2024-01-26 v4
Abstract
We develop a theory of surfaces with boundary moving by mean curvature flow. In particular, we prove a general existence theorem by elliptic regularization, and we prove boundary regularity at all positive times under very mild hypotheses.
Cite
@article{arxiv.1901.03008,
title = {Mean Curvature Flow with Boundary},
author = {Brian White},
journal= {arXiv preprint arXiv:1901.03008},
year = {2024}
}
Comments
43 pages