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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 on a complete and non-compact Riemannian manifold of…
math.AP2025
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 dens…
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 Schrödinger equation with…