PDE Seminar Optimal control problems for Allen-Cahn type equation associated with the total variation energy

2006-12-04 16:30 - 2006-12-04 17:30
Faculty of Science Building #8 Room 309
Noriaki Yamazaki(Muroran Institute of Technology)
In this talk we consider optimal control problems for Allen-Cahntype equation associated with the total variation energy. We provethe existence of an optimal control which minimizes the nonlinearcost functional. Moreover, we give the necessary condition ofoptimal control for our singular diffusion equation by using theapproximating control problem.