Matteo Bonforte

activity

20072009

most citedAsymptotics of the fast diffusion equation via entropy estimates

135 citations · 135 across the 3 of their papers we have counts for

collaborators

3 papers

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…

math.AP2008

Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations

Matteo Bonforte, Juan Luis Vazquez

We investigate qualitative properties of local solutions $u (t, x) \geq 0$ to the fast diffusion equation, $\partial_{t} u = Δ (u^{m}) / m$ with $m < 1$ , corresponding to general nonnegative ini…

math.AP2007★ 135 cited

Asymptotics of the fast diffusion equation via entropy estimates

Adrien Blanchet, Matteo Bonforte, Jean Dolbeault +2

We consider non-negative solutions of the fast diffusion equation $u_{t} = Δ u^{m}$ with $m \in (0, 1)$ , in the Euclidean space R^d, d?3, and study the asymptotic behavior of a natural cla…