Gabriele Grillo

collaborators

2 papers

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…

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