The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations
type: Item
instance of: scholarly article
title: The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations
zbMATH Open document ID: 1418.60086
author: Jun Shen
author: Junyilang Zhao
author: Kening Lu
author: Bixiang Wang
published in: Journal of Differential Equations
publication date: 2019-02-08T00:00:00Z
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 37H10
Mathematics Subject Classification ID: 37L55
Mathematics Subject Classification ID: 37D10
zbMATH DE Number: 7018380
zbMATH Keywords: Wong-Zakai approximation
zbMATH Keywords: stochastic evolution equation
zbMATH Keywords: multiplicative noise
zbMATH Keywords: invariant manifolds
zbMATH Keywords: invariant foliations
MaRDI profile type: Publication
full work available at URL: j.jde.2018.10.008
OpenAlex ID: W2896068237
cites work: An approach to Ito linear equations in Hilbert spaces by approximation of white noise with coloured noise
cites work: Q4210478
cites work: Approximation and support theorem in Hölder norm for parabolic stochastic partial differential equations
cites work: Q3828771
cites work: Existence and persistence of invariant manifolds for semiflows in Banach space
cites work: Invariant foliations near normally hyperbolic invariant manifolds for semiflows
cites work: Approximately invariant manifolds and global dynamics of spike states
cites work: A convergence result for stochastic partial differential equations
cites work: Almost sure approximation of Wong-Zakai type for stochastic partial differential equations
cites work: Exponentially stable stationary solutions for stochastic evolution equations and their perturba\-tion
cites work: Applications of centre manifold theory
cites work: Convex analysis and measurable multifunctions
cites work: Smooth invariant foliations in infinite dimensional spaces
cites work: Invariant manifolds for flows in Banach spaces
cites work: Ck centre unstable manifolds
cites work: Stochastic Equations in Infinite Dimensions
cites work: The Stratonovich heat equation: a continuity result and weak approximations
cites work: Invariant manifolds for stochastic partial differential equations.
cites work: Smooth stable and unstable manifolds for stochastic evolutionary equations
cites work: Q4850166
cites work: Random attractors for stochastic evolution equations driven by fractional Brownian motion
cites work: Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion
cites work: Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters \(H\in(1/3,1/2]\)
cites work: Approximation of the stochastic Navier-Stokes equation
cites work: Wong-Zakai type convergence in infinite dimensions
cites work: On the approximation of stochastic partial differential equations i
cites work: On the approximation of stochastic partial differential equations II
cites work: Rate of convergence of Wong-Zakai approximations for stochastic partial differential equations
cites work: A Wong-Zakai theorem for stochastic PDEs
cites work: Q5580482
cites work: Geometric theory of semilinear parabolic equations
cites work: A class of approximations of Brownian motion
cites work: Q3992729
cites work: The stable, center-stable, center, center-unstable, unstable manifolds
cites work: Smooth approximation of stochastic differential equations
cites work: On Wong-Zakai approximation of stochastic differential equations
cites work: Weak limit theorems for stochastic integrals and stochastic differential equations
cites work: Q3973613
cites work: INVARIANT FOLIATIONS FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
cites work: Wong-Zakai approximations and long term behavior of stochastic partial differential equations
cites work: Chaotic behavior in differential equations driven by a Brownian motion
cites work: Probleme General de la Stabilite du Mouvement. (AM-17)
cites work: Q4769730
cites work: The stable manifold theorem for stochastic differential equations
cites work: The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations
cites work: On weak convergence of sequences of continuous local martingales
cites work: Q3886596
cites work: Q5477738
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Q5340295
cites work: Approximations of solutions of stochastic differential equations driven by semimartingales
cites work: Characteristic exponents and invariant manifolds in Hilbert space
cites work: A random fixed point theorem and the random graph transformation
cites work: Wong-Zakai approximations and center manifolds of stochastic differential equations
cites work: Heteroclinic chaotic behavior driven by a Brownian motion
cites work: Q5670045
cites work: An interpretation of stochastic differential equations as ordinary differential equations which depend on the sample point

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: On the gap between deterministic and stochastic ordinary differential equations

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: Wong-Zakai approximations of stochastic evolution equations

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: Q4693218

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: An extension of the Wong-Zakai theorem for stochastic evolution equations in Hilbert spaces

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: An approximation theorem of wong-zakai type for nonlinear stochastic partial differential equations

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: Wong-Zakai approximations for stochastic differential equations

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: Center manifolds and contractions on a scale of Banach spaces

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: Q4763556

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: On the relation between ordinary and stochastic differential equations

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (cites work)
cites work: On the Convergence of Ordinary Integrals to Stochastic Integrals

The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations (DOI)
DOI: 10.1016/J.JDE.2018.10.008