187 citations · 856 across the 36 of their papers we have counts for
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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…