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Start Over Creator Maslowski, Bohdan

9. Uniform exponential ergodicity of stochastic dissipative systems

Creator:
Goldys, Benjamin and Maslowski, Bohdan
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
dissipative system, compact semigroup, exponential ergodicity, and spectral gap
Language:
English
Description:
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 $d\le 3$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public