Rate of Convergence to Separable Solutions of the Fast Diffusion Equation
Марек Фила, Michael Winkler · arXiv (Cornell University) · 2014
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.