Hölder continuity and optimal control for nonsmooth elliptic problems
Please always quote using this URN:urn:nbn:de:0296-matheon-5707
- 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.
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| Author: | Christian Meyer, Joachim Rehberg, Anton Schiela |
|---|---|
| URN: | urn:nbn:de:0296-matheon-5707 |
| Referee: | Alexander Mielke |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2009/02/03 |
| Release Date: | 2009/02/24 |
| Institute: | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
| Preprint Number: | 564 |
