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Invariant manifolds for random and stochastic partial differential equations. (English) Zbl 1209.37094
The paper presents a description of the theory of invariant manifolds for the particular classes of random dynamical systems induced by random and by stochastic partial differential equations.

MSC:
37L55 Infinite-dimensional random dynamical systems; stochastic equations
35R60 PDEs with randomness, stochastic partial differential equations
37D10 Invariant manifold theory for dynamical systems
37L25 Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems
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