Abstract
New results pertaining to the invariant manifolds of stochastic partial differential equations are presented. We prove the existence of local and global invariant manifolds for a non-autonomous stochastic evolution equation. These manifolds are constituted by trajectories of the solutions belonging to particular function spaces and the theory of Ornstein-Uhlenbeck process.
Funding Statement
Supported by National Natural Science Foundation of China (Grant No. 11261024).
Citation
Xiangdong Yang. "Invariant manifolds for nonautonomous stochastic evolution equation." Osaka J. Math. 58 (3) 711 - 729, July 2021.
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