Exponential mixing for the white - forced damped nonlinear wave equation

preprint2014arXivOpen access

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 μμ, and the law of any solution converges to μμ with exponential rate in the dual-Lipschitz norm

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