Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent
نویسندگان
چکیده
We study the asymptotic behaviour of positive solutions of the Cauchy problem for the fast diffusion equation as t approaches 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.
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عنوان ژورنال:
- J. London Math. Society
دوره 90 شماره
صفحات -
تاریخ انتشار 2014