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The Ornstein-Uhlenbeck semigroup in exterior domains

Geissert, Matthias, Heck, Horst, Hieber, Matthias, Wood, Ian (2005) The Ornstein-Uhlenbeck semigroup in exterior domains. Archiv der Mathematik, 85 (6). pp. 554-562. ISSN 0003-889X. E-ISSN 1420-8938. (doi:10.1007/s00013-005-1400-4) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Abstract

Let Omega be an exterior domain in R^n. It is shown that Ornstein-Uhlenbeck operators L

generate C_0-semigroups on L^p(Omega) for p in (1, \infty) provided Omega is

smooth. The method presented also allows to determine the domain D(L)

of L and to prove L^p-L^q smoothing

properties of e^{tL}. If Omega is only Lipschitz, results

of this type are shown to be true for p close to 2.

Item Type: Article
DOI/Identification number: 10.1007/s00013-005-1400-4
Subjects: Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Ian Wood
Date Deposited: 10 Nov 2014 18:08 UTC
Last Modified: 01 Aug 2019 10:37 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/44244 (The current URI for this page, for reference purposes)
Wood, Ian: https://orcid.org/0000-0001-7181-7075
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