# Stability of mean convex cones under mean curvature flow - Mathematics > Differential Geometry

Stability of mean convex cones under mean curvature flow - Mathematics > Differential Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: We consider graphical solutions to mean curvature flow and obtain a stabilityresult for homothetically expanding solutions coming out of cones of positivemean curvature: If another solution is initially close to the cone at infinity,then the difference to the homothetically expanding solution becomes small forlarge times. The proof involves the construction of appropriate barriers.

Author: ** Julie Clutterbuck, Oliver C. SchnÃ¼rer**

Source: https://arxiv.org/