On the rate of convergence of the p-curve shortening flow

In this paper we give rates of convergence for the p-curve shortening flow for p≥1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p\ge 1$$\end{document} an integer, which improves on the known estimates and which are probably sharp.