Stochastic lattice dynamical systems with fractional noise
Analysis of PDEs
2016-09-09 v1
Abstract
This article is devoted to study stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter . First of all, we investigate the existence and uniqueness of pathwise mild solutions to such systems by the Young integration setting and prove that the solution generates a random dynamical system. Further, we analyze the exponential stability of the trivial solution.
Cite
@article{arxiv.1609.02543,
title = {Stochastic lattice dynamical systems with fractional noise},
author = {Hakima Bessaih and María J. Garrido-Atienza and Xiaoying Han and Björn Schmalfuß},
journal= {arXiv preprint arXiv:1609.02543},
year = {2016}
}