Weak solutions to mean curvature flow respecting obstacles I: the graphical case
Differential Geometry
2014-12-01 v2 Analysis of PDEs
Abstract
We consider the problem of evolving hypersurfaces by mean curvature flow in the presence of obstacles, that is domains which the flow is not allowed to enter. In this paper, we treat the case of complete graphs and explain how the approach of M. Saez and the second author yields a global weak solution to the original problem for general initial data and onesided obstacles.
Cite
@article{arxiv.1409.7529,
title = {Weak solutions to mean curvature flow respecting obstacles I: the graphical case},
author = {Melanie Rupflin and Oliver C. Schnürer},
journal= {arXiv preprint arXiv:1409.7529},
year = {2014}
}
Comments
updated version with minor corrections and 2 new figures