Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592045 | Journal of Functional Analysis | 2010 | 25 Pages |
Abstract
We study regularity properties for invariant measures of semilinear diffusions in a separable Hilbert space. Based on a pathwise estimate for the underlying stochastic convolution, we prove a priori estimates on such invariant measures. As an application, we combine such estimates with a new technique to prove the L1-uniqueness of the induced Kolmogorov operator, defined on a space of cylindrical functions. Finally, examples of stochastic Burgers equations and thin-film growth models are given to illustrate our abstract result.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory