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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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Metadaten
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
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