Partial Regularity of Mean-Convex Hypersurfaces Flowing by Mean Curvature Brian White

@inproceedings{White1994PartialRO,
title={Partial Regularity of Mean-Convex Hypersurfaces Flowing by Mean Curvature Brian White},
author={Brian White},
year={1994}
}

In this paper we announce various new results about singularities in the mean curvature flow. Some results apply to any weak solution (i.e., any Brakke flow of integral varifolds.) Our strongest results, however, are for initially regular mean-convex hypersurfaces. (We say a hypersurface is mean-convex if it bounds a region such that the mean curvature with respect to the inward unit normal is positive at each point of the surface.) In this case we can prove the optimal result about the… CONTINUE READING