Existence of BV flow via elliptic regularization
Differential Geometry
2024-10-21 v2 Analysis of PDEs
Abstract
We investigate a mean curvature flow obtained via elliptic regularization, and prove that it is not only a Brakke flow, but additionally a generalized BV flow proposed by Stuvard and Tonegawa. In particular, we show that the change in volume of the evolving phase can be expressed in terms of the generalized mean curvature of the Brakke flow.
Keywords
Cite
@article{arxiv.2305.12374,
title = {Existence of BV flow via elliptic regularization},
author = {Kiichi Tashiro},
journal= {arXiv preprint arXiv:2305.12374},
year = {2024}
}
Comments
19 pages, I fixed minor mistakes. To appear in Hiroshima math. J