TY - JOUR
T1 - On finite-dimensional projections of distributions for solutions of randomly forced PDE\\\'s
JF - Ann. Inst. Henri Poincare-Prob. Stat. 43 (2007) 399-415
Y1 - 2007
A1 - Andrei A. Agrachev
A1 - Sergei Kuksin
A1 - Andrey Sarychev
A1 - Armen Shirikyan
AB - 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.
UR - http://hdl.handle.net/1963/2012
U1 - 2184
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -