Second-order Sufficient Optimality Conditions for a Semilinear Optimal Control Problem with Nonlocal Radiation Interface Conditions

dc.contributor.authorMeyer, Christian
dc.date.accessioned2021-12-17T10:06:33Z
dc.date.available2021-12-17T10:06:33Z
dc.date.issued2005-04-14
dc.description.abstractWe 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, second-order sufficient conditions are derived that account for strongly active sets. These conditions ensure local optimality in a $L^s$-neighborhood whereby the underlying analysis allows to use weaker norms than $L^\infty$.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15566
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14339
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otheroptimal controlen
dc.subject.othersemilinear elliptic equationsen
dc.subject.othernonlocal interface conditionsen
dc.subject.othersecond-order sufficient optimality conditionsen
dc.titleSecond-order Sufficient Optimality Conditions for a Semilinear Optimal Control Problem with Nonlocal Radiation Interface Conditionsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2005, 13en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200049K20 Problems involving partial differential equationsen
tub.subject.msc200035J65 Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDEen
tub.subject.msc200080M50 Optimizationen
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