Research activity of Fabio Bagagiolo

• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations.
• Mathematical models of hysteresis.
• Control and optimal control of systems/equations with hysteresis.
• Nonlinear partial differential equations and their weak formulations as variational inequalities. Applications to free boundary problems and to hysteresis.
• Control and optimal control of switching and hybrid systems.
• Differential games and mean field games.