The Ornstein-Uhlenbeck semigroup in exterior domains

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dc.contributor.author Wood, Ian
dc.contributor.author Geissert, Matthias
dc.contributor.author Heck, Horst
dc.contributor.author Hieber, Matthias
dc.date.accessioned 2008-12-05T10:44:13Z
dc.date.available 2008-12-05T10:44:13Z
dc.date.issued 2005-12
dc.identifier.citation Wood , I , Geissert , M , Heck , H & Hieber , M 2005 , ' The Ornstein-Uhlenbeck semigroup in exterior domains ' Archiv der Mathematik , vol 85 , no. 6 , pp. 554-562 . , 10.1007/s00013-005-1400-4 en
dc.identifier.issn 0003-889X
dc.identifier.other PURE: 88663
dc.identifier.other dspace: 2160/1404
dc.identifier.uri http://hdl.handle.net/2160/1404
dc.identifier.uri http://www.springerlink.com/content/71212012n1708n67/fulltext.pdf en
dc.description Wood, Ian; Geissert, M.; Heck, H.; Hieber, M., (2005) 'The Ornstein-Uhlenbeck semigroup in exterior domains', Archiv der Mathematik 86 pp.554-562 RAE2008 en
dc.description.abstract Let Ω be an exterior domain in It is shown that Ornstein-Uhlenbeck operators L generate C0-semigroups on Lp(Ω) for p ∈ (1, ∞) provided ∂Ω is smooth. The method presented also allows to determine the domain D(L) of L and to prove Lp − Lq smoothing properties of etL. If ∂Ω is only Lipschitz, results of this type are shown to be true for p close to 2. en
dc.format.extent 9 en
dc.language.iso eng
dc.relation.ispartof Archiv der Mathematik en
dc.title The Ornstein-Uhlenbeck semigroup in exterior domains en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1007/s00013-005-1400-4
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Mathematics and Physics en
dc.description.status Peer reviewed en


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