On invariant measures of nonlinear Markov processes.

Ahmed, N.U.; Ding, Xinhong

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Displaying similar documents to “On invariant measures of nonlinear Markov processes.”

Uniform exponential ergodicity of stochastic dissipative systems

Beniamin Goldys, Bohdan Maslowski (2001)

Czechoslovak Mathematical Journal

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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 $ℝ^{d}$ with $d \leq 3$ .