State-constrained optimal control of semilinear elliptic equations with nonlocal radiation interface conditions
Please always quote using this URN:urn:nbn:de:0296-matheon-3950
- We consider a control- and state-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. The nonlocal radiation interface condition and the pointwise state-constraints represent the particular features of this problem. To deal with the state-constraints, continuity of the state is shown which allows to derive first-order necessary conditions. Afterwards, we establish second-order sufficient conditions that account for strongly active sets and ensure local optimality in an $L^2$-neighborhood.
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| Author: | Christian Meyer, Irwin Yousept |
|---|---|
| URN: | urn:nbn:de:0296-matheon-3950 |
| Referee: | Fredi Tröltzsch |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2007/06/14 |
| Release Date: | 2007/08/06 |
| Tag: | |
| Institute: | Technische Universität Berlin |
| Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) | |
| Preprint Number: | 391 |
