Second-order sufficient optimality conditions for a semilinear optimal control problem with nonlocal radiation interface conditions
Please always quote using this URN:urn:nbn:de:0296-matheon-2511
- We consider a control constrained optimal control problem governed by a semilinear elliptic equation with nonlocal interface conditions. These conditions occur during the modeling of diffuse-gray conductive-radiative heat transfer. After stating first-order necessary conditions, secondorder sufficient conditions are derived that account for strongly active sets. These conditions ensure local optimality in a Ls-neighborhood whereby the underlying analysis allows to use weaker norms than L?.
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| Author: | Christian Meyer |
|---|---|
| URN: | urn:nbn:de:0296-matheon-2511 |
| Referee: | Jürgen Sprekels |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2005/12/05 |
| Release Date: | 2005/04/27 |
| Institute: | Technische Universität Berlin |
| Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) | |
| Preprint Number: | 242 |
