The Ornstein-Uhlenbeck semigroup in exterior domains

M. Geissert, H. Heck, Matthias Georg Hieber, I. Wood

Research output: Contribution to journalArticle

13 Citations (Scopus)


Let Ω be an exterior domain in ℝn. It is shown that Ornstein-Uhlenbeck operators L generate C0-semigroups on L p (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.

Original languageEnglish
Pages (from-to)554-562
Number of pages9
JournalArchiv der Mathematik
Issue number6
Publication statusPublished - 2005 Dec
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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    Geissert, M., Heck, H., Hieber, M. G., & Wood, I. (2005). The Ornstein-Uhlenbeck semigroup in exterior domains. Archiv der Mathematik, 85(6), 554-562.