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Large deviation principle for a stochastic Allen-Cahn equation
| dc.contributor.author | Heida, Martin | |
| dc.contributor.author | Röger, Matthias | |
| dc.date.accessioned | 2016-06-28T05:45:31Z | |
| dc.date.available | 2019-06-28T08:02:12Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | In this paper we consider the Allen–Cahn equation perturbed by a stochastic flux term and prove a large deviation principle. Using an associated stochastic flow of diffeomorphisms the equation can be transformed to a parabolic partial differential equation with random coefficients. We use this structure and first provide a large deviation principle for stochastic flows in function spaces with Hölder-continuity in time. Second, we use a continuity argument and deduce a large deviation principle for the stochastic Allen–Cahn equation. | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1758 | |
| dc.language.iso | eng | eng |
| dc.publisher | Cambridge : arXiv | eng |
| dc.relation.uri | http://arxiv.org/abs/1501.03917 | |
| 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 | eng |
| dc.subject.other | Probability | eng |
| dc.title | Large deviation principle for a stochastic Allen-Cahn equation | 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 |