An inverse problem for a double phase implicit obstacle problem with multivalued terms

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dc.contributor.authorZeng, Shengdacs
dc.contributor.authorBai, Yunrucs
dc.contributor.authorRadulescu, Vicentiucs
dc.contributor.authorWinkert, Patrickcs
dc.coverage.issue30cs
dc.coverage.volume29cs
dc.date.issued2023-04-27cs
dc.description.abstractIn this paper, we study an inverse problem of estimating three discontinuous parameters in a double phase implicit obstacle problem with multivalued terms and mixed boundary conditions which is formulated by a regularized optimal control problem. Under very general assumptions, we introduce a multivalued function called a parameter-to-solution map which admits weakly compact values. Then, by employing the Aubin-Cellina convergence theorem and the theory of nonsmooth analysis, we prove that the parameter-to-solution map is bounded and continuous in the sense of Kuratowski. Finally, a generalized regularization framework for the inverse problem is developed and a new existence theorem is provided.en
dc.formattextcs
dc.format.extent1-30cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. 2023, vol. 29, issue 30, p. 1-30.en
dc.identifier.doi10.1051/cocv/2023022cs
dc.identifier.issn1262-3377cs
dc.identifier.orcid0000-0003-4615-5537cs
dc.identifier.other183936cs
dc.identifier.researcheridA-1503-2012cs
dc.identifier.scopus35608668800cs
dc.identifier.urihttp://hdl.handle.net/11012/244331
dc.language.isoencs
dc.relation.ispartofESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONScs
dc.relation.urihttps://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:000977790200001cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1262-3377/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectClarke subdifferentialen
dc.subjectdiscontinuous parameteren
dc.subjectdouble phase operatoren
dc.subjectimplicit obstacle problemen
dc.subjectinverse problemen
dc.subjectoptimal controlen
dc.subjectSteklov eigenvalueen
dc.titleAn inverse problem for a double phase implicit obstacle problem with multivalued termsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-183936en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:40:50en
sync.item.modts2025.01.17 15:23:47en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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