Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation

Details Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation

2011-06-09

arxiv.org/abs/1106.1790v1

Mathematics

Analysis of PDEs

Scientific paper

We study the asymptotic behaviour of positive solutions of the Cauchy problem
for the fast diffusion equation near 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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