Optimal rates of convergence to the singular Barenblatt profile for the fast diffusion equation
Марек Фила, Michael Winkler · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2016
We study the asymptotic behaviour of solutions of the fast diffusion equation near extinction. For a class of initial data, the asymptotic behaviour is described by a singular Barenblatt profile. We complete previous results on rates of convergence to the singular Barenblatt profile by describing a new phenomenon concerning the difference between the rates in time and space.