The Ornstein-Uhlenbeck semigroup in exterior domains
Contribuinte(s) |
Institute of Mathematics & Physics (ADT) Mathematics and Physics |
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Data(s) |
05/12/2008
05/12/2008
01/12/2005
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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 |
Idioma(s) |
eng |
Relação |
Archiv der Mathematik |
Tipo |
/dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article Article (Journal) |
Direitos |