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arXiv · 1404.4697

Exponential mixing for the white - forced damped nonlinear wave equation

Davit Martirosyan
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Abstract

The paper is devoted to studying the stochastic nonlinear wave (NLW) equation in a bounded domain D $\subset$ R3. We show that the Markov process associated with the flow of solution has a unique stationary measure $μ$, and the law of any solution converges to $μ$ with exponential rate in the dual-Lipschitz norm

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Davit Martirosyan. 2014-04-18. Exponential mixing for the white - forced damped nonlinear wave equation. https://arxiv.org/abs/1404.4697

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