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Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations

143   0   0.0 ( 0 )
 Added by Bixiang Wang
 Publication date 2014
  fields
and research's language is English
 Authors Bixiang Wang




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By the Lyapunov-Perron method,we prove the existence of random inertial manifolds for a class of equations driven simultaneously by non-autonomous deterministic and stochastic forcing. These invariant manifolds contain tempered pullback random attractors if such attractors exist. We also prove pathwise periodicity and almost periodicity of inertial manifolds when non-autonomous deterministic forcing is periodic and almost periodic in time, respectively.



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