Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation
نویسندگان
چکیده
منابع مشابه
Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent
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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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2012
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-011-0486-z