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) (KAR id:44244)
| 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. | |
| Official URL: http://link.springer.com.chain.kent.ac.uk/article/... |
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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Ian Wood |
| Date Deposited: | 10 Nov 2014 18:08 UTC |
| Last Modified: | 16 Nov 2021 10:17 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/44244 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Wood, Ian.
| Creator's ORCID: |
 https://orcid.org/0000-0001-7181-7075
|
|---|---|
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