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Rate of Convergence to Separable Solutions of the Fast Diffusion Equation

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.

preprint2014arXivOpen access
Marek FilaMichael Winkler
math.AP
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Marek FilaMichael Winkler

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