Stochastic inertial manifolds for damped wave equations ∗

  title={Stochastic inertial manifolds for damped wave equations ∗},
  author={Zhenxin Liu},
In this paper, stochastic inertial manifold for damped wave equations subjected to additive white noise is constructed by the Lyapunov-Perron method. It is proved that when the intensity of noise tends to zero the stochastic inertial manifold converges to its deterministic counterpart almost surely. 

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