Existence, uniqueness, and stabilization results for parabolic variational inequalities
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2870 | |
dc.contributor.author | Kröner, Axel | |
dc.contributor.author | Rautenberg, Carlos N. | |
dc.contributor.author | Rodrigues, Sérgio | |
dc.date.accessioned | 2022-07-05T14:28:47Z | |
dc.date.available | 2022-07-05T14:28:47Z | |
dc.date.issued | 2021 | |
dc.description.abstract | In this paper we consider feedback stabilization for parabolic variational inequalities of obstacle type with time and space depending reaction and convection coefficients and show exponential stabilization to nonstationary trajectories. Based on a Moreau--Yosida approximation, a feedback operator is established using a finite (and uniform in the approximation index) number of actuators leading to exponential decay of given rate of the state variable. Several numerical examples are presented addressing smooth and nonsmooth obstacle functions. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9588 | |
dc.identifier.uri | https://doi.org/10.34657/8626 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2870 | |
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 | Exponential stabilization | eng |
dc.subject.other | Parabolic variational inequalities | eng |
dc.subject.other | Oblique projection feedback | eng |
dc.subject.other | Moreau-Yosida approximation | eng |
dc.title | Existence, uniqueness, and stabilization results for parabolic variational inequalities | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 36 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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