M. Bonforte

activity

20072026

most citedExistence, Uniqueness and Asymptotic behaviour for fractional porous medium equations on bounded domains

175 citations · 580 across the 34 of their papers we have counts for

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Showing 2009 · math.APShow all

2 papers · 2 filters

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 $p$ -Laplacian equation, $\partial_{t} u = Δ_{p} u$ , with $1 < p < 2$ . Our main results are quantitative…