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math.AP2009★ 115 cited
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
Matteo Bonforte, Jean Dolbeault, Gabriele Grillo +1
The goal of this note is to state the optimal decay rate for solutions of the nonlinear fast diffusion equation and, in self-similar variables, the optimal convergence rates to Bar…
math.AP2009
Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation
M. Bonforte, R. G. Iagar, J. L. Vazquez
We study qualitative and quantitative properties of local weak solutions of the fast -Laplacian equation, , with . Our main results are quantitative…