Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations

Details Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations

2008-03-18

arxiv.org/abs/0803.2648v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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