Prof. Dr. Fredi Tröltzsch
Wave type solutions are characteristic for several nonlinear parabolic reaction diffusion equations. For instance, traveling wave fronts solve the Nagumo equation, while spiral waves are solutions to the well-known FitzHugh-Nagumo equations. In its main part, the talk surveys results on associated optimal control problems. In particular, theory and numerical applications of sparse optimal controls are discussed. Here, the objective functional includes a non-differentiable convex part. Finally, a problem of feedback control is briefly sketched, where nonlocal feedback operators with time-delay have to be designed in an optimal way. The theory will be illustrated by various numerical examples.
Datum: 07.07.2016, Raum: Sandtorstr. 1 (MPI), Großer Seminarraum Prigogine , Zeit: 17:00