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

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.

Cited by in corpus (2)

• Gradient Flows of Penalty Functions in the Space of Smooth Embeddings
• Discretized Gradient Flow for Manifold Learning in the Space of Embeddings