On the variational stability of a class of nonlinear parabolic optimal control problems

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dc.contributor.author Papageorgiou, NS en
dc.date.accessioned 2014-03-01T01:44:49Z
dc.date.available 2014-03-01T01:44:49Z
dc.date.issued 1996 en
dc.identifier.issn 02322064 en
dc.identifier.uri http://hdl.handle.net/123456789/24492
dc.relation.uri http://www.scopus.com/inward/record.url?eid=2-s2.0-25444476046&partnerID=40&md5=dd4adc4db8e5ab892af3e0816480b60b en
dc.subject Γ-convergence en
dc.subject Compact embeddings en
dc.subject Evolution triples en
dc.subject G-convergence en
dc.subject Monotone operators en
dc.subject Semilinear systems en
dc.subject Upper-semicontinuous multifunctions en
dc.title On the variational stability of a class of nonlinear parabolic optimal control problems en
heal.type journalArticle en
heal.publicationDate 1996 en
heal.abstract In this paper we study parametric optimal control problems governed by a non-linear parabolic equation in divergence form. The parameter appears in all the data of the problem, including the partial differential operator. Using as tools the G-convergence of operators and the F-convergence of functionals, we show that the set-valued map of optimal pairs is upper-semicontinuous with respect to the parameter and the optimal value function responds continuously to changes of the parameter. Finally, in the case of semilinear systems we show that our framework can also incorporate systems with weakly convergent coefficients. © Heldermann Verlag. en
heal.journalName Zeitschrift fur Analysis und ihre Anwendung en
dc.identifier.volume 15 en
dc.identifier.issue 1 en
dc.identifier.spage 245 en
dc.identifier.epage 262 en

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