135 citations · 360 across the 30 of their papers we have counts for
Showing 2015 · math.APShow all
3 papers · 2 filters
math.AP2015
Smoothing effects for the porous medium equation on Cartan-Hadamard manifolds
Gabriele Grillo, Matteo Muratori
We prove three sharp bounds for solutions to the porous medium equation posed on Riemannian manifolds, or for weighted versions of such equation. Firstly we prove a smoothing effec…
math.AP2015
The porous medium equation with measure data on negatively curved Riemannian manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We investigate existence and uniqueness of weak solutions of the Cauchy problem for the porous medium equation on negatively curved Riemannian manifolds. We show existence of solut…
math.AP2015
Improved time-decay for a class of scaling critical electromagnetic Schrödinger flows
Luca Fanelli, Gabriele Grillo, Hynek Kovarik
We consider a Schrödinger hamiltonian with scaling critical and time independent external electromagnetic potential, and assume that the angular operator associated to…