Marek Fila, Juan Luis Vazquez, Michael Winkler, Eiji Yanagida
Published 2011-06-09Version 1
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.
Convergence of the Dirichlet solutions of the very fast diffusion equation
Rate of Convergence to Separable Solutions of the Fast Diffusion Equation
Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation
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