%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