The Ornstein-Uhlenbeck semigroup in exterior domains


Autoria(s): Wood, Ian; Geissert, Matthias; Heck, Horst; Hieber, Matthias
Contribuinte(s)

Institute of Mathematics & Physics (ADT)

Mathematics and Physics

Data(s)

05/12/2008

05/12/2008

01/12/2005

Resumo

Wood, Ian; Geissert, M.; Heck, H.; Hieber, M., (2005) 'The Ornstein-Uhlenbeck semigroup in exterior domains', Archiv der Mathematik 86 pp.554-562 RAE2008

Let ? be an exterior domain in It is shown that Ornstein-Uhlenbeck operators L generate C0-semigroups on Lp(?) for p ? (1, ?) provided ?? 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 ?? is only Lipschitz, results of this type are shown to be true for p close to 2.

Peer reviewed

Formato

9

Identificador

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 . DOI: 10.1007/s00013-005-1400-4

0003-889X

PURE: 88663

PURE UUID: 1c77c185-a00f-4ded-ac5a-6b0287ac8a83

dspace: 2160/1404

http://hdl.handle.net/2160/1404

http://dx.doi.org/10.1007/s00013-005-1400-4

Idioma(s)

eng

Relação

Archiv der Mathematik

Tipo

/dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article

Article (Journal)

Direitos