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arXiv · 1409.3883

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

Bixiang Wang
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Abstract

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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Bixiang Wang. 2014-09-12. Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations. https://arxiv.org/abs/1409.3883

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