Existence, iteration procedures and directional differentiability for parabolic QVIs
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2592 | |
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 | We study parabolic quasi-variational inequalities (QVIs) of obstacle type. Under appropriate assumptions on the obstacle mapping, we prove the existence of solutions of such QVIs by two methods: one by time discretisation through elliptic QVIs and the second by iteration through parabolic variational inequalities (VIs). Using these results, we show the directional differentiability (in a certain sense) of the solution map which takes the source term of a parabolic QVI into the set of solutions, and we relate this result to the contingent derivative of the aforementioned map. We finish with an example where the obstacle mapping is given by the inverse of a parabolic differential operator. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9166 | |
dc.identifier.uri | https://doi.org/10.34657/8204 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2592 | |
dc.relation.hasversion | https://doi.org/10.1007/s00526-020-01732-6 | |
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 | obstacle problem | eng |
dc.subject.other | conical derivative | eng |
dc.subject.other | directional differentiability | eng |
dc.subject.other | parabolic | eng |
dc.title | Existence, iteration procedures and directional differentiability for parabolic QVIs | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 51 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- wias_preprints_2592.pdf
- Size:
- 433.1 KB
- Format:
- Adobe Portable Document Format
- Description: