Research interests
Research interests
Viscosity solutions of Hamilton-Jacobi equations, optimal stopping and switching problems, hybrid control, differential games, mean-field games.
Viscosity solutions of Hamilton-Jacobi equations, optimal stopping and switching problems, hybrid control, differential games, mean-field games.
(with F. Bagagiolo, E. Bertolazzi, A. Pegoretti and D. Rigotti) Modelling of the bonding process for a non-woven fabric: analysis and numerics, Communications in Applied and Industrial Mathematics, 16(1), 62–81, 2025. (arXiv:2502.06391).
Preprint version: arXiv:2502.06391
(with F. Bagagiolo and R. Capuani) A zero-sum differential game for two opponent masses, Partial Differential Equations and Applications, 6, 19, 2025.
DOI: 10.1007/s42985-025-00322-5
Preprint version: arXiv:2408.03860
(with F. Bagagiolo and R. Capuani) A single player and a mass of agents: a pursuit-evasion like game, ESAIM: Control, Optimisation and Calculus of Variations, 30, 17, 2024.
DOI: 10.1051/cocv/2024009
Preprint version: arXiv:2302.05742
(with F. Bagagiolo) A time-dependent switching mean-field game on networks motivated by optimal visiting problems, Journal of Dynamics and Games, 10(2), 151–180, 2023 (Early access: September 2022).
DOI: 10.3934/jdg.2022019
Preprint version: arXiv:2201.00260
(with F. Bagagiolo and A. Festa) Hybrid control for optimal visiting problems for a single player and for a crowd, Nonlinear Differential Equations and Applications, 29(1), 4, 2022 (Early access: December 2021).
DOI: 10.1007/s00030-021-00737-0
Preprint version: arXiv:2012.08596
(with F. Bagagiolo and A. Festa) The orienteering problem: a hybrid control formulation, IFAC-PapersOnLine, 54(5), 175–180, 2021.
DOI: 10.1016/j.ifacol.2021.08.494
Preprint version: arXiv:2012.07712
(with F. Bagagiolo and A. Festa) A hybrid control framework for an optimal visiting problem, IFAC-PapersOnLine, 54(5), 241–246, 2021.
DOI: 10.1016/j.ifacol.2021.08.505
Preprint version: arXiv:2012.07705
(with A. Festa and F. Camilli) Approximation of viscous transport and conservative equations with one sided Lipschitz velocity fields, submitted for publication (arXiv:2505.08970)
(with A. Festa and F. Camilli) A network model for urban planning, submitted for publication (arXiv:2408.05140).
Some optimal visiting problems: from a single player to a mean-field type model, Ph.D. Thesis in Mathematics, XXXIV Cycle, University of Trento, 2022.