2 papers
math.DS2023
Smooth center-stable/unstable manifolds and foliations of stochastic evolution equations with non-dense domain
Zonghao Li, Caibin Zeng, Jianhua Huang
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…
math.PR2023
Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise
Xiaofang Lin, Alexandra Neamtu, Caibin Zeng
Little seems to be known about the invariant manifolds for stochastic partial differential equations (SPDEs) driven by nonlinear multiplicative noise. Here we contribute to this as…