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

• Autores: Matthias Geissert, Alessandra Lunardi
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 79, Nº 1, 2009, págs. 85-106
• Idioma: inglés
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• Resumen

  • 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