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 2012Show all

3 papers · 1 filter

math.AP2012

Conditions at infinity for the inhomogeneous filtration equation

Gabriele Grillo, Matteo Muratori, Fabio Punzo

We investigate existence and uniqueness of solutions to the filtration equation with an inhomogeneous density in $R^{N}$ , approaching at infinity a given continuous datum o…

math.AP2012

Sharp short and long time $L^{\infty}$ bounds for solutions to porous media equations with Neumann boundary conditions

Gabriele Grillo, Matteo Muratori

We study a class of nonlinear diffusion equations whose model is the classical porous media equation on domains $Ω \subseteq R^{N}$ , $N \geq 3$ , with homogeneous Neumann boundar…

math.AP2012

Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities

Gabriele Grillo, Matteo Muratori, Maria Michaela Porzio

We study weighted porous media equations on domains $Ω \subseteq R^{N}$ , either with Dirichlet or with Neumann homogeneous boundary conditions when $Ω \neq = R^{N}$ . Exi…

Conditions at infinity for the inhomogeneous filtration equation

Sharp short and long time L∞ bounds for solutions to porous media equations with Neumann boundary conditions

Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities

Sharp short and long time $L^{\infty}$ bounds for solutions to porous media equations with Neumann boundary conditions