Courses

Selected topics of Optimization

Content: Optimization problems in infinite-dimensional vector spaces: examples, existence of solutions, optimality conditions

Requirements: Basic knowledge of functional analysis, participation in the course "Basics of optimization" is not mandatory.

4 h, Tue 12-14, Thu 8-10 SE 30

Exercises: 2 h, Mon 14-16 SE 40

Optimal Control

Content: Optimization problems constrained by nonlinear partial differential equations. Existence of solutions. Characterization of
solutions by optimality conditions. Algorithms.

3 h, Tue 8-10, Wed 10-11 SE 30 

Literature:

• Tröltzsch, Optimale Steuerung partieller Differentialgleichungen, Vieweg, 2005.
• Hinze, Pinnau, Ulbrich, Ulbrich, Optimization with PDE Constraints, Springer, 2008.
• De Los Reyes: Numerical PDE-constrained optimization
• Evans, Partial Differential Equations, AMS, 1998.
• Dobrowolski: Angewandte Funktionalanalysis
• Růžička: Nichtlineare Funktionalanalysis - eine Einführung

     Optimal control of partial differential equations

Oberseminar Optimal Control

2 hours, by agreement