Challenges and perspectives for the optimal control of partial differential equations

Optimization problems governed by partial differential equations arise in a lot of technical applications. Newly, such problems occur also in medicin and finance.

Practial applications are characterized by several challenges: coupled systems of different types of equations, nonlinearities in the equations, nontrivial geometries (for instance reentrant corners) and pointwise inequality constraints for control and state.

In the talk new approaches and results are presented. Strategic goal is to solve such type of problems with given accuracy at low costs.