Marek Fila, Michael Winkler
Published 2014-05-19Version 1
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.
Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured Euclidean space
Asymptotic behaviour of the finite blow-up points solutions of the fast diffusion equation
Existence and asymptotic behaviour of solutions of the very fast diffusion equation
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