Uniform exponential ergodicity of stochastic dissipative systems

Beniamin Goldys; Bohdan Maslowski

Uniform exponential ergodicity of stochastic dissipative systems

Probability 2007-05-23 v1

Authors: Beniamin Goldys , Bohdan Maslowski

Abstract

We study ergodic properties of stochastic dissipative systems with additive noise. We show that the system is uniformly exponentially ergodic provided the growth of nonlinearity at infinity is faster than linear. The abstract result is applied to the stochastic reaction diffusion equation in $\mathbb R^d$ with $d\le 3$ .

Keywords

ergodic theory reaction-diffusion systems stochastic dynamics

Cite

@article{arxiv.math/0111143,
  title  = {Uniform exponential ergodicity of stochastic dissipative systems},
  author = {Beniamin Goldys and Bohdan Maslowski},
  journal= {arXiv preprint arXiv:math/0111143},
  year   = {2007}
}

Comments

16 pages

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