Mean curvature flow without singularities
Differential Geometry
2012-10-23 v1 Analysis of PDEs
Abstract
We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. We obtain smooth long time existence. The projections of the evolving graphs also solve mean curvature flow. Hence this approach allows to smoothly flow through singularities by studying graphical mean curvature flow with one additional dimension.
Cite
@article{arxiv.1210.6007,
title = {Mean curvature flow without singularities},
author = {Mariel Sáez Trumper and Oliver C. Schnürer},
journal= {arXiv preprint arXiv:1210.6007},
year = {2012}
}
Comments
19 pages, 4 figures