On finite-dimensional projections of distributions for solutions of randomly forced PDE's
Analysis of PDEs
2015-06-26 v1 Probability
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.
Keywords
Cite
@article{arxiv.math/0603295,
title = {On finite-dimensional projections of distributions for solutions of randomly forced PDE's},
author = {Andrei Agrachev and Sergei Kuksin and Andrey Sarychev and Armen Shirikyan},
journal= {arXiv preprint arXiv:math/0603295},
year = {2015}
}
Comments
24 pages