## Title data

Schiela, Anton:

**Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States.**

Konrad-Zuse-Zentrum für Informationstechnik Berlin

Berlin
,
2007
.
- (ZIB-Report
; 07-35
)

## Related URLs

## Project information

Project title: |
Project's official title Project's id DFG Research Center Matheon ”Mathematics for key technologies” FZT 86 |
---|---|

Project financing: |
Deutsche Forschungsgemeinschaft |

## Abstract in another language

We discuss first order optimality conditions for state constrained optimal control problems. Our concern is the treatment of problems, where the solution of the state equation is not known to be continuous, as in the case of boundary control in three space dimensions or optimal control with parabolic partial differential equations. We show existence of measure valued Lagrangian multipliers, which have just enough additional regularity to be applicable to all possibly discontinuous solutions of the state equation.