Mean-square random invariant manifolds for stochastic differential equations

DOI10.3934/dcds.2020324zbMath1467.37053OpenAlexW3083600221MaRDI QIDQ1995550

Bixiang Wang

Publication date: 24 February 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020324

zbMATH Keywords

stochastic equationbackward equationmean-square random invariant manifoldrandom stable manifoldrandom unstable manifold

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Invariant manifold theory for dynamical systems (37D10) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Stability theory for random and stochastic dynamical systems (37H30)

Related Items (8)

Mean asymptotic behavior for stochastic Kuramoto–Sivashinshy equation in Bochner spaces ⋮ Weak mean random attractors for non-local random and stochastic reaction–diffusion equations ⋮ Singular limit of mean-square invariant unstable manifolds for SPDEs driven by nonlinear multiplicative white noise in varying phase spaces ⋮ Mean-square invariant manifolds for stochastic weak-damping wave equations with nonlinear noise ⋮ Pathwise unstable invariant manifolds reduction for stochastic evolution equations driven by nonlinear noise ⋮ Mean attractors and invariant measures of locally monotone and generally coercive SPDEs driven by superlinear noise ⋮ Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise ⋮ Mean-square invariant manifolds for ill-posed stochastic evolution equations driven by nonlinear noise

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