Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation
Analysis of PDEs
2015-05-28 v1
Abstract
We study the asymptotic behaviour of positive solutions of the Cauchy problem for the fast diffusion equation near the extinction time. We find a continuum of rates of convergence to a self-similar profile. These rates depend explicitly on the spatial decay rates of initial data.
Keywords
Cite
@article{arxiv.1106.1790,
title = {Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation},
author = {Marek Fila and Juan Luis Vazquez and Michael Winkler and Eiji Yanagida},
journal= {arXiv preprint arXiv:1106.1790},
year = {2015}
}