PDE Seminar (2015/4/20): A minimizing movement approach to constrained distributed parameter systems
 Date

2015420 16:30 
2015420 17:30
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Elliott Ginder (Hokkaido University)

 We consider an infinite dimensional optimal control problem where state space members satisfy a partial differential equation with prescribed volumeconstraints (the control). We derive a bangbang principle for the optimal control and, by utilizing the method of minimizing movements, we show how the discretetime problem allows one to investigate the optimal solution as the asymptotic evolution of a volumecontrolled gradient flow of the cost functional. We will also present an application of minimizing movements for computing approximate solutions of constrained gradient flows.