## Title data

Schiela, Anton ; Wollner, Winnifried:

**Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints.**

*In:* SIAM Journal on Optimization.
Vol. 21
(2011)
Issue 1
.
- pp. 269-286.

ISSN 1095-7189

DOI: https://doi.org/10.1137/080742154

Review: |

## Related URLs

## Project information

Project title: |
Project's official title Project's id DFG Research Center Matheon "Mathematics for key technologies" FZT 86 |
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Project financing: |
Deutsche Forschungsgemeinschaft |

## Abstract in another language

In this paper we are concerned with the application of interior point methods in function space to gradient constrained optimal control problems, governed by partial differential equations. We will derive existence of solutions together with first order optimality conditions. Afterwards we show continuity of the central path, together with convergence rates depending on the interior point parameter.