%N 758
%J Journal für die reine und angewandte Mathematik (Crelles Journal)
%A F Schulze
%A B White
%V 2020
%X Mean curvature flow of clusters of n-dimensional surfaces in Rn+k that meet in triples at equal angles along smooth edges and higher order junctions on lower-dimensional faces is a natural extension of classical mean curvature flow. We call such a flow a mean curvature flow with triple edges. We show that if a smooth mean curvature flow with triple edges is weakly close to a static union of three n-dimensional unit density half-planes, then it is smoothly close. Extending the regularity result to a class of integral Brakke flows, we show that this implies smooth short-time existence of the flow starting from an initial surface cluster that has triple edges, but no higher order junctions.
%T A local regularity theorem for mean curvature flow with triple edges
%O This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
%D 2020
%I Walter de Gruyter
%L discovery1571171