3 papers
math.AP2026
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…
math.AP2026
Blow-up of solutions to semilinear parabolic equations driven by mixed local-nonlocal operators with large initial data
Stefano Biagi, Fabio Punzo, Eugenio Vecchi
We investigate finite-time blow-up for nonnegative solutions to the Cauchy problem associated with semilinear parabolic equations driven by a mixed local--nonlocal operator. The re…
math.AP2025
A Liouville-type property for degenerate-elliptic equations modeled on Hörmander vector fields
Stefano Biagi, Dario Daniele Monticelli, Fabio Punzo
We obtain Liouville type theorems for degenerate elliptic equation with a drift term and a potential. The diffusion is driven by Hörmander operators. We show that the conditions i…