Approximation rates for regularized level set power mean curvature flow

Abstract

In [11] the evolution of hypersurfaces in ${\mathbb{R}}^{n+1}$ with normal speed equal to a power $k>1$ of the mean curvature is considered and the level set solution $u$ of the flow is obtained as the $C^0$-limit of a sequence $u^{ϵ}$ of smooth functions solving the regularized level set equations. We prove a rate for this convergence.