Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation
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🧮 math.AP
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ratesconvergencediffusionequationfastasymptoticbarenblattbehaviour
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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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