Avoidance for set-theoretic solutions of mean-curvature-type flows
Avoidance for set-theoretic solutions of mean-curvature-type flows
We provide a self-contained treatment of set-theoretic subsolutions to flow by mean curvature, or, more generally, to flow by mean curvature plus an ambient vector field. The ambient space can be any smooth Riemannian manifold. Most importantly, we show that if two such set-theoretic subsolutions are initially disjoint, then they …