at Google ScholarTitle 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 FZT 86: Matheon - Mathematik für Schlüsseltechnologien: Modellierung, Simulation und Optimierung realer Prozesse 5485610 |
|---|---|
| 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