State-constrained optimal control of semilinear elliptic equations with nonlocal radiation interface conditions
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1234 | |
dc.contributor.author | Meyer, Christian | |
dc.contributor.author | Yousept, Irwin | |
dc.date.accessioned | 2016-03-24T17:38:15Z | |
dc.date.available | 2019-06-28T08:02:34Z | |
dc.date.issued | 2007 | |
dc.description.abstract | 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. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/3246 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1867 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Nonlinear optimal control | eng |
dc.subject.other | nonlocal radiation interface conditions | eng |
dc.subject.other | state constraints | eng |
dc.subject.other | first-order necessary conditions | eng |
dc.subject.other | second-order sufficient conditions | eng |
dc.title | State-constrained optimal control of semilinear elliptic equations with nonlocal radiation interface conditions | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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