An infinite dimensional hamiltonian dynamical system from MFG theory

Dynamical Systems Working Seminar
Friday, September 29, 2017 - 15:00
1 hour (actually 50 minutes)
Skiles 154
Georgia Tech
We will look at a system of hamiltonian equations on the torus, with an initial condition in momentum and a terminal condition in position, that arises in mean field game theory. Existence of and uniqueness of solutions will be shown, and a few remarks will be made in regard to its connection to the minimization problem of a cost functional.