Abstract.
We study the realization of the differential operator \(u \mapsto u_t - L(t)u\) in the space of continuous time periodic functions, and in L 2 with respect to its (unique) invariant measure. Here L(t) is an Ornstein-Uhlenbeck operator in \({\mathbb{R}}^n\), such that L(t + T) = L(t) for each \(t \in {\mathbb{R}}\).
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Da Prato, G., Lunardi, A. Ornstein–Uhlenbeck operators with time periodic coefficients. J. evol. equ. 7, 587–614 (2007). https://doi.org/10.1007/s00028-007-0321-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00028-007-0321-z