Abstract
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. © 2006 Elsevier Masson SAS. All rights reserved.
Original language | English |
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Pages (from-to) | 399-415 |
Number of pages | 17 |
Journal | Annales de l'Institut Henri Poincaré, Probabilités et Statistiques |
Volume | 43 |
Issue number | 4 |
DOIs | |
Publication status | Published - Jul 2007 |
Keywords
- 2D Navier-Stokes system
- Analytic transformations
- Random perturbations