Invariant measures and maximal L2 regularity for nonautonomous Ornstein�Uhlenbeck equations

• Autores: Matthias Geissert, Alessandra Lunardi
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 77, Nº 3, 2008, págs. 719-740
• Idioma: inglés
• DOI: 10.1112/jlms/jdn009
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• Resumen

  • We characterize the domain of the realizations of a linear parabolic operator defined in L2 spaces with respect to a suitable measure that is invariant for the associated evolution semigroup. As a byproduct, we obtain optimal L2 regularity results for evolution equations with time-dependant Ornstein�Uhlenbeck operators.