## Title data

Haller-Dintelmann, Robert ; Meyer, Christian ; Rehberg, Joachim ; Schiela, Anton:

**Hölder continuity and optimal control for nonsmooth elliptic problems.**

*In:* Applied Mathematics and Optimization.
Vol. 60
(2009)
Issue 3
.
- pp. 397-428.

ISSN 1432-0606

DOI: https://doi.org/10.1007/s00245-009-9077-x

Review: |

## 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

The well known De Giorgi result on Hölder continuity for solutions of the Dirichlet problem is re-established for mixed boundary value problems, provided that the underlying domain is a Lipschitz domain and the border between the Dirichlet and the Neumann boundary part satisfies a very general geometric condition. Implications of this result for optimal control theory are presented