Smooth center-stable/unstable manifolds and foliations of stochastic evolution equations with non-dense domain
Dynamical Systems
2023-11-30 v1 Probability
Abstract
The current paper is devoted to the asymptotic behavior of a class of stochastic PDE. More precisely, with the help of the theory of integrated semigroups and a crucial estimate of the random Stieltjes convolution, we study the existence and smoothness of center-unstable invariant manifolds and center-stable foliations for a class of stochastic PDE with non-dense domain through the Lyapunov-Perron method. Finally, we give two examples about a stochastic age-structured model and a stochastic parabolic equation to illustrate our results.
Keywords
Cite
@article{arxiv.2311.17625,
title = {Smooth center-stable/unstable manifolds and foliations of stochastic evolution equations with non-dense domain},
author = {Zonghao Li and Caibin Zeng and Jianhua Huang},
journal= {arXiv preprint arXiv:2311.17625},
year = {2023}
}
Comments
46 pages