Lagrange multiplier and singular limit of double obstacle problems for Allen-Cahn equation with constraint
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2063 | |
| dc.contributor.author | Farshbaf Shaker, Mohammad Hassan | |
| dc.contributor.author | Takeshi, Takeshi | |
| dc.contributor.author | Yamazaki, Noriaki | |
| dc.contributor.author | Kenmochi, Nobuyuki | |
| dc.date.accessioned | 2016-03-24T17:36:52Z | |
| dc.date.available | 2019-06-28T08:11:24Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We consider an Allen--Cahn equation with a constraint of double obstacle-type. This constraint is a subdifferential of an indicator function on the closed interval, which is a multivalued function. In this paper we study the properties of the Lagrange multiplier to our equation. Also, we consider the singular limit of our system and clarify the limit of the solution and the Lagrange multiplier to our double obstacle problem. Moreover, we give some numerical experiments of our problem by using the Lagrange multiplier. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2596 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2806 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| 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 | Allen-Cahn equation | eng |
| dc.subject | constraint | eng |
| dc.subject | double obstacle | eng |
| dc.subject | singular limit | eng |
| dc.subject | Lagrange multiplier | eng |
| dc.subject | subdifferential | eng |
| dc.subject | numerical experiments | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Lagrange multiplier and singular limit of double obstacle problems for Allen-Cahn equation with constraint | eng |
| dc.type | report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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