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) |

Wood, Ian: | https://orcid.org/0000-0001-7181-7075 |

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