偏微分方程式セミナー(2015/4/20): A minimizing movement approach to constrained distributed parameter systems, Elliott Ginder 氏

2015年 　 4月 20日 16時 30分 ～ 2015年 　 4月 20日 17時 30分

Elliott Ginder 氏 (北海道大学電子科学研究所)

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