Uniform exponential ergodicity of stochastic dissipative systems

Details Uniform exponential ergodicity of stochastic dissipative systems Uniform exponential ergodicity of stochastic dissipative systems

2001-11-13

arxiv.org/abs/math/0111143v1

Mathematics

Probability

16 pages

Scientific paper

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
$d\le 3$.

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