Giulia Meglioli

collaborators

4 papers

math.AP2026

PhragmÃ¨n-LindelÃ¶f type theorems for parabolic equations on infinite graphs

Stefano Biagi, Giulia Meglioli, Fabio Punzo

We obtain the PhragmÃ¨n-LindelÃ¶f principle on combinatorial infinite weighted graphs for the Cauchy problem associated to a certain class of parabolic equations with a variable de…

math.AP2025

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 $u_{t} = I^_{p} u^{m} + u^{q}$ on a complete and non-compact Riemannian manifold $M$ of…

math.AP2025

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 SchrÃ¶dinger equation wit…

math.AP2025

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…