Communications in Analysis and Geometry
Volume 29 (2021)
Regularity and stability results for the level set flow via the mean curvature flow with surgery
Pages: 1783 – 1811
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.
Received 15 February 2018
Accepted 4 March 2019
Published 24 May 2022