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Uniform Exponential Ergodicity of Stochastic Dissipative Systems

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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 ℝd with d⩽3.

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Authors and Affiliations

  1. School of Mathematics, The University of New South Wales, Sydney, 2052, Australia

    Beniamin Goldys

  2. Institute of Mathematics, Academy of Sciences, Zitna 25, 115 67, Praha 1, Czech Republic

    Bohdan Maslowski

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  1. Beniamin Goldys
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  2. Bohdan Maslowski
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Goldys, B., Maslowski, B. Uniform Exponential Ergodicity of Stochastic Dissipative Systems. Czechoslovak Mathematical Journal 51, 745–762 (2001). https://doi.org/10.1023/A:1013712812513

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  • DOI: https://doi.org/10.1023/A:1013712812513

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