135 citations · 136 across the 3 of their papers we have counts for
3 papers
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 to the fast diffusion equation, with , corresponding to general nonnegative ini…
math.AP2007★ 1 cited
Selfsimilar Equivalence of Porous Medium and p-Laplacian Flows
Ariel Sanchez, Juan-Luis Vazquez
We demonstrate the equivalence between the two popular models of nonlinear diffusion, the porous medium equation and the p-Laplacian equation. The equivalence is shown at the level…
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 with , in the Euclidean space R^d, d?3, and study the asymptotic behavior of a natural cla…