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Stochastic inertial manifolds for damped wave equations

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 نشر من قبل Zhenxin Liu
 تاريخ النشر 2006
  مجال البحث
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 تأليف Zhenxin Liu




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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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