Matteo Muratori

activity

20122025

most citedRadial Fast Diffusion on the Hyperbolic Space

26 citations · 48 across the 30 of their papers we have counts for

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Showing 2013 · math.APShow all

2 papers · 2 filters

math.AP2013★ 1 cited

Fractional porous media equations: existence and uniqueness of weak solutions with measure data

Gabriele Grillo, Matteo Muratori, Fabio Punzo

We prove existence and uniqueness of solutions to a class of porous media equations driven by the fractional Laplacian when the initial data are positive finite Radon measures on t…

math.AP2013★ 26 cited

Radial Fast Diffusion on the Hyperbolic Space

Gabriele Grillo, Matteo Muratori

We consider radial solutions to the fast diffusion equation $u_{t} = Δ u^{m}$ on the hyperbolic space $H^{N}$ for $N \geq 2$ , $m \in (m_{s}, 1)$ , $m_{s} = \frac{N - 2}{N + 2}$ . By radial we me…