Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations
| Autor: | Geissert, Matthias, Lunardi, Alessandra |
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| Rok vydání: | 2008 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/jlms/jdn057 |
| Popis: | In this paper we investigate a class of nonautonomous 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. |
| Databáze: | arXiv |
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