Wong–Zakai Approximations of Invariant Manifolds and Foliations for Stochastic Evolution Equations with Non-Dense Domain

报告人：唐佘彬

时间：9月28日 下午16:30-18:00

地点：广西数学研究中心W301

摘要：We study Wong–Zakai approximations for stochastic evolution equations with multiplicative noise and non-densely defined linear operators on separable Banach spaces. Using integrated semigroup theory, we establish well-posedness of the associated random evolution equations and prove almost sure pathwise convergence of the Wong–Zakai solutions to the Ornstein– Uhlenbeck-conjugacy solution of the limiting Stratonovich equation. Under suitable spectral-gap conditions, we construct random Lipschitz stable and unstable invariant manifolds and stable foliations for both the approximating and limiting systems, and prove pathwise convergence of the corresponding graph maps, uniformly on compact sets.