Calculus of Variations and Geometric Measure Theory

A. Mramor

Regularity and stability results for the level set flow via the mean curvature flow with surgery

created by mramor on 07 Jan 2025

[BibTeX]

Published Paper

Inserted: 7 jan 2025
Last Updated: 7 jan 2025

Journal: Comm. Anal. Geom.
Year: 2017

ArXiv: 1710.09989 PDF

Abstract:

In this article we use the mean curvature flow with surgery to derive regularity estimates for the level set flow going past Brakke regularity in certain special conditions allowing for 2-convex regions of high density. We also show a stability result for the plane under the level set flow.