%0 Journal Article %T Gradient estimates and lower bound for the blow-up time of star-shaped mean curvature flow %A Ling Xiao %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1311.3721v1