On The Existence of an Invariant Measure for Isotropic Diffusions in Random Environment
Analysis of PDEs
2014-04-22 v1
Abstract
The results of this paper build upon those first obtained by Sznitman and Zeitouni in [11]. We establish, for spacial dimensions greater than two, the existence of a unique invariant measure for isotropic diffusions in random environment which are small perturbations of Brownian motion. Furthermore, we establish a general homogenization result for initial data which are locally measurable with respect to the coefficients.
Keywords
Cite
@article{arxiv.1404.5274,
title = {On The Existence of an Invariant Measure for Isotropic Diffusions in Random Environment},
author = {Benjamin J. Fehrman},
journal= {arXiv preprint arXiv:1404.5274},
year = {2014}
}
Comments
33 pages