caa a22 4500 477091644 CHVBK 20180405111516.0 cr unu---uuuuu 170330e19960601xx s 000 0 eng 10.1007/BF01195918 doi (NATIONALLICENCE)springer-10.1007/BF01195918 Regularity of invariant measures for a class of perturbed Ornstein-Uhlenbeck operators [Elektronische Daten] [Vladimir Bogachev, Giuseppe Da Prato, Michael Röckner] In the framework of [5] we prove regularity of invariant measures μ for a class of Ornstein-Uhlenbeck operators perturbed by a drift which is not necessarily bounded or Lipschitz continuous. Regularity here means that μ is absolutely continuous with respect to the Gaussian invariant measure of the unperturbed operator with the square root of the Radon-Nikodym density in the corresponding Sobolev space of order 1. Birkhäuser Verlag, 1996 Bogachev Vladimir Department of Mechanics and Mathematics, Moscow State University, 119899, Moscow, Russia aut Da Prato Giuseppe Scuola Normale Superiore di Pisa, Piazza dei Cavalieri 6, 56126, Pisa, Italy aut Röckner Michael Faculty of Mathematics, University of Bielefeld, D-33615, Bielefeld, Germany aut Nonlinear Differential Equations and Applications NoDEA Birkhäuser-Verlag 3/2(1996-06-01), 261-268 1021-9722 3:2<261 1996 3 30 https://doi.org/10.1007/BF01195918 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01195918 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bogachev Vladimir Department of Mechanics and Mathematics, Moscow State University, 119899, Moscow, Russia aut NATIONALLICENCE 700 1- Da Prato Giuseppe Scuola Normale Superiore di Pisa, Piazza dei Cavalieri 6, 56126, Pisa, Italy aut NATIONALLICENCE 700 1- Röckner Michael Faculty of Mathematics, University of Bielefeld, D-33615, Bielefeld, Germany aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Birkhäuser-Verlag 3/2(1996-06-01), 261-268 1021-9722 3:2<261 1996 3 30 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer