%0 Journal Article
%T Rate of Convergence to Separable Solutions of the Fast Diffusion Equation
%A Marek Fila
%A Michael Winkler
%J Mathematics
%D 2014
%I arXiv
%X We study the asymptotic behaviour near extinction of positive solutions of the Cauchy problem for the fast diffusion equation with a subcritical exponent. We show that separable solutions are stable in some suitable sense by finding a class of functions which belong to their domain of attraction. For solutions in this class we establish optimal rates of convergence to separable solutions.
%U http://arxiv.org/abs/1405.4661v1