Publications (19)
Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities
Gabriele Grillo, Matteo Muratori, Maria Michaela Porzio
Conditions at infinity for the inhomogeneous filtration equation
Gabriele Grillo, Matteo Muratori, Fabio Punzo
Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
Matteo Bonforte, Jean Dolbeault, Matteo Muratori +1
The porous medium equation on Riemannian manifolds with negative curvature. The large-time behaviour
Gabriele Grillo, Matteo Muratori, Juan Luis Vázquez
Radial Fast Diffusion on the Hyperbolic Space
Gabriele Grillo, Matteo Muratori
Porous medium equations on manifolds with critical negative curvature: unbounded initial data
Matteo Muratori, Fabio Punzo
The fractional Laplacian in power-weighted $L^p$ spaces: integration-by-parts formulas and self-adjointness
Matteo Muratori
Weighted interpolation inequalities: a perturbation approach
Jean Dolbeault, Matteo Muratori, Bruno Nazaret
Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods
Matteo Bonforte, Jean Dolbeault, Matteo Muratori +1
Sharp short and long time $\mathbf L^{\boldsymbol \infty}$ bounds for solutions to porous media equations with Neumann boundary conditions
Gabriele Grillo, Matteo Muratori
Blow-up and global existence for the porous medium equation with reaction on a class of Cartan-Hadamard manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density
Gabriele Grillo, Matteo Muratori, Fabio Punzo
Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities
Jean Dolbeault, Maria J. Esteban, Michael Loss +1
The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case
Gabriele Grillo, Matteo Muratori, Juan Luis Vázquez
Smoothing effects for the porous medium equation on Cartan-Hadamard manifolds
Gabriele Grillo, Matteo Muratori
Fractional porous media equations: existence and uniqueness of weak solutions with measure data
Gabriele Grillo, Matteo Muratori, Fabio Punzo
The porous medium equation with large initial data on negatively curved Riemannian manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
Smoothing effects for the filtration equation with different powers
Alin Razvan Fotache, Matteo Muratori
The porous medium equation with measure data on negatively curved Riemannian manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo