English

Exponential mixing for the white - forced damped nonlinear wave equation

Analysis of PDEs 2014-04-21 v1

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

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Cite

@article{arxiv.1404.4697,
  title  = {Exponential mixing for the white - forced damped nonlinear wave equation},
  author = {Davit Martirosyan},
  journal= {arXiv preprint arXiv:1404.4697},
  year   = {2014}
}

Comments

32 pages

R2 v1 2026-06-22T03:53:29.652Z