$K$ mean-convex and $K$-outward minimizing sets
Analysis of PDEs
2020-11-26 v1
Abstract
We consider the evolution of sets by nonlocal mean curvature and we discuss the preservation along the flow of two geometric properties, which are the mean convexity and the outward minimality. The main tools in our analysis are the level set formulation and the minimizing movement scheme for the nonlocal flow. When the initial set is outward minimizing, we also show the convergence of the (time integrated) nonlocal perimeters of the discrete evolutions to the nonlocal perimeter of the limit flow.
Cite
@article{arxiv.2011.12614,
title = {$K$ mean-convex and $K$-outward minimizing sets},
author = {Annalisa Cesaroni and Matteo Novaga},
journal= {arXiv preprint arXiv:2011.12614},
year = {2020}
}