Stability of the solution set of quasi-variational inequalities and optimal control
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2582 | |
dc.contributor.author | Alphonse, Amal | |
dc.contributor.author | Hintermüller, Michael | |
dc.contributor.author | Rautenberg, Carlos N. | |
dc.date.accessioned | 2022-06-23T09:38:50Z | |
dc.date.available | 2022-06-23T09:38:50Z | |
dc.date.issued | 2019 | |
dc.description.abstract | For a class of quasivariational inequalities (QVIs) of obstacle-type the stability of its solution set and associated optimal control problems are considered. These optimal control problems are non-standard in the sense that they involve an objective with set-valued arguments. The approach to study the solution stability is based on perturbations of minimal and maximal elements to the solution set of the QVI with respect to monotonic perturbations of the forcing term. It is shown that different assumptions are required for studying decreasing and increasing perturbations and that the optimization problem of interest is well-posed. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9156 | |
dc.identifier.uri | https://doi.org/10.34657/8194 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2582 | |
dc.relation.hasversion | https://doi.org/10.1137/19M1250327 | |
dc.relation.issn | 2198-5855 | |
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 | |
dc.subject.other | Quasi-variational inequality | eng |
dc.subject.other | optimal control | eng |
dc.subject.other | multivalued solution maps | eng |
dc.title | Stability of the solution set of quasi-variational inequalities and optimal control | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 26 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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