Gradient estimates and lower bound for the blow-up time of star-shaped mean curvature flow

2013/11/15 by Ling Xiao, Xiao, Ling · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1311.3721

Abstract

In this paper we consider a star-shaped hypersurface flow by mean curvature. Without any assumption on the convexity, we give a new proof of gradient estimate for a short time. As an application, we also give a lower bound for the blowing up time.

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