Asymptotic behavior and hypercontractivity in non-autonomous Ornstein-Uhlenbeck equations

被引：16

作者：

Geissert, Matthias ^{[1
]}

Lunardi, Alessandra ^{[2
]}

机构：

[1] Tech Univ Darmstadt, FB Math, D-64289 Darmstadt, Germany

[2] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2009年 / 79卷

关键词：

SEMIGROUPS;

D O I：

10.1112/jlms/jdn057

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate a class of non-autonomous linear parabolic problems with time-depending Ornstein-Uhlenbeck operators. We study the asymptotic behavior of the associated evolution operator and evolution semigroup in the periodic and non-periodic situation. Moreover, we show that the associated evolution operator is hypercontractive.

引用

页码：85 / 106

页数：22

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