6 papers · 1 filter
Phragmèn-Lindelöf type theorems for parabolic equations on infinite graphs
Stefano Biagi, Giulia Meglioli, Fabio Punzo
We obtain the Phragmèn-Lindelöf principle on combinatorial infinite weighted graphs for the Cauchy problem associated to a certain class of parabolic equations with a variable de…
Global existence for a Leibenson type equation with reaction on Riemannian manifolds
Giulia Meglioli, Francescantonio Oliva, Francesco Petitta
We show a global existence result for a doubly nonlinear porous medium type equation of the form on a complete and non-compact Riemannian manifold of…
Uniqueness of solutions to elliptic and parabolic equations on metric graphs
Giulia Meglioli, Fabio Punzo
We investigate uniqueness of solutions to certain classes of elliptic and parabolic equations posed on metric graphs. In particular, we address the linear Schrödinger equation wit…
On the uniqueness for the heat equation with density on infinite graphs
Giulia Meglioli
We study the uniqueness of solutions to a class of heat equations with positive density posed on infinite weighted graphs. We separately consider the case when the density is bound…
Blow-up and global existence for semilinear parabolic equations on infinite graphs
Gabriele Grillo, Giulia Meglioli, Fabio Punzo
We investigate existence of global in time solutions and blow-up of solutions to the semilinear heat equation posed on infinite graphs. The source term is a general function …
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…