6 citations · 19 across the 55 of their papers we have counts for
5 papers · 1 filter
Uniqueness in weighted spaces for the Schrödinger equation on infinite graphs
Giulia Meglioli, Fabio Punzo
We investigate uniqueness of solutions to Schrödinger-type elliptic equations posed on infinite graphs. Solutions are assumed to belong to suitable weighted spaces where $…
Global existence for reaction-diffusion evolution equations driven by the -Laplacian on manifolds
Gabriele Grillo, Giulia Meglioli, Fabio Punzo
We consider reaction-diffusion equations driven by the -Laplacian on noncompact, infinite volume manifolds assumed to support the Sobolev inequality and, in some cases, to have…
Blow-up for semilinear parabolic equations in cones of the hyperbolic space
Dario D. Monticelli, Fabio Punzo
We investigate existence and nonexistence of global in time nonnegative solutions to the semilinear heat equation, with a reaction term of the type ($μ\in\mathbb{R}, p>…
Uniqueness for fractional parabolic and elliptic equations with drift
Giulia Meglioli, Fabio Punzo
We investigate uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of fractional parabolic and elliptic equations with a drift.
The porous medium equation with large data on Cartan-Hadamard manifolds under general curvature bounds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We consider very weak solutions of the Cauchy problem for the porous medium equation on Cartan-Hadamard manifolds, that are assumed to satisfy general curvature bounds and to be st…