Rate of Convergence to Separable Solutions of the Fast Diffusion Equation
Analysis of PDEs
2014-05-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1405.4661,
title = {Rate of Convergence to Separable Solutions of the Fast Diffusion Equation},
author = {Marek Fila and Michael Winkler},
journal= {arXiv preprint arXiv:1405.4661},
year = {2014}
}