J. Vázquez

activity

20072021

most citedThe Hele-Shaw asymptotics for mechanical models of tumor growth

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

collaborators

Showing 2008Show all

2 papers · 1 filter

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.AP2008★ 47 cited

Special fast diffusion with slow asymptotics. Entropy method and flow on a Riemannian manifold

Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez

We consider the asymptotic behaviour of positive solutions $u (t, x)$ of the fast diffusion equation $u_{t} = Δ (u^{m} / m) = div (u^{m - 1} \nabla u)$ posed for $x\in\RR^d$, $t > 0$ , with a…