Equality of the usual definitions of Brakke flow
Differential Geometry
2017-05-25 v1
Abstract
In 1978 Brakke introduced the mean curvature flow in the setting of geometric measure theory. There exist multiple variants of the original definition. Here we prove that most of them are indeed equal. One central point is to correct the proof of Brakke's \S 3.5, where he develops an estimate for the evolution of the measure of time-dependent test functions.
Keywords
Cite
@article{arxiv.1705.08789,
title = {Equality of the usual definitions of Brakke flow},
author = {Ananda Lahiri},
journal= {arXiv preprint arXiv:1705.08789},
year = {2017}
}
Comments
18 pages, no figures