Invariant foliations for stochastic partial differential equations with non-dense domain

DOI10.1090/proc/15686zbMath1501.37079OpenAlexW4213091494WikidataQ114094193 ScholiaQ114094193MaRDI QIDQ5863144

Jun Shen, Caibin Zeng

Publication date: 11 March 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15686

zbMATH Keywords

Hille-Yosida conditionfoliationsLyapunov-Perron methodstochastic parabolic equationStratonovich integration

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) PDEs with randomness, stochastic partial differential equations (35R60) Invariant manifold theory for dynamical systems (37D10) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Integrated semigroups (47D62)

Related Items (2)

Center manifolds for ill-posed stochastic evolution equations ⋮ Smoothness of invariant manifolds for stochastic evolution equations with non-dense domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant foliations for random dynamical systems
• On integrated semigroups and age structured models in \(L^p\) spaces.
• Semiflows generated by Lipschitz perturbations of non-densely defined operators
• Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion
• On semilinear Cauchy problems with non-dense domain
• Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space
• Characteristic exponents and invariant manifolds in Hilbert space
• Convex analysis and measurable multifunctions
• A random fixed point theorem and the random graph transformation
• Invariant manifolds for stochastic partial differential equations.
• The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations
• Smooth stable and unstable manifolds for stochastic evolutionary equations
• The stable manifold theorem for stochastic differential equations
• ``Integrated semigroups and integrated solutions to abstract Cauchy problems
• Smooth ergodic theory of random dynamical systems
• Wong-Zakai approximations and center manifolds of stochastic differential equations
• Random Attractors for Stochastic Evolution Equations Driven by Fractional Brownian Motion
• Centre manifolds for stochastic evolution equations
• INVARIANT FOLIATIONS FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
• Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
• Invariant manifolds for random and stochastic partial differential equations
• Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models
• Random invariant manifolds for ill-posed stochastic evolution equations
• The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations

This page was built for publication: Invariant foliations for stochastic partial differential equations with non-dense domain