1 citations · 1 across the 9 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.AP2018
Nonlinear characterizations of stochastic completeness
Gabriele Grillo, Kazuhiro Ishige, Matteo Muratori
We prove that conservation of probability for the free heat semigroup on a Riemannian manifold (namely stochastic completeness), hence a linear property, is equivalent to uniqu…
math.FA2018
Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations
Matteo Muratori, Alberto Roncoroni
We investigate the validity, as well as the failure, of Sobolev-type inequalities on Cartan-Hadamard manifolds under suitable bounds on the sectional and the Ricci curvatures. We p…
math.AP2018
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
We consider the porous medium equation with power-type reaction terms on negatively curved Riemannian manifolds, and solutions corresponding to bounded, nonnegative and compa…