%0 Journal Article
%J Ann. Inst. Henri Poincare-Prob. Stat. 43 (2007) 399-415
%D 2007
%T On finite-dimensional projections of distributions for solutions of randomly forced PDE\\\'s
%A Andrei A. Agrachev
%A Sergei Kuksin
%A Andrey Sarychev
%A Armen Shirikyan
%X The paper is devoted to studying the image of probability measures on a Hilbert space under finite-dimensional analytic maps. We establish sufficient conditions under which the image of a measure has a density with respect to the Lebesgue measure and continuously depends on the map. The results obtained are applied to the 2D Navier-Stokes equations perturbed by various random forces of low dimension.
%B Ann. Inst. Henri Poincare-Prob. Stat. 43 (2007) 399-415
%G en_US
%U http://hdl.handle.net/1963/2012
%1 2184
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-08-31T09:21:55Z\\nNo. of bitstreams: 1\\nmathAP0603295v1.pdf: 316127 bytes, checksum: 6686ad78dcb2dbc5efb64a959b30750c (MD5)
%R 10.1016/j.anihpb.2006.06.001