Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise
DOI10.1016/j.jfa.2023.110227arXiv2310.17981MaRDI QIDQ6184597
Xiaofang Lin, Alexandra Neamţu, Caibin Zeng
Publication date: 25 January 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2310.17981
Fractional processes, including fractional Brownian motion (60G22) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) General theory of random and stochastic dynamical systems (37H05) Infinite-dimensional random dynamical systems; stochastic equations (37L55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than \(1/2\) and random dynamical systems
- Mean-square random dynamical systems
- Ergodicity of the infinite dimensional fractional Brownian motion
- Non-autonomous rough semilinear PDEs and the multiplicative sewing lemma
- Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion
- Semigroups of linear operators and applications to partial differential equations
- Convex analysis and measurable multifunctions
- Integration with respect to fractal functions and stochastic calculus. I
- Invariant manifolds for stochastic partial differential equations.
- Differential equations driven by fractional Brownian motion
- Smooth stable and unstable manifolds for stochastic evolutionary equations
- Controlling rough paths
- Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion
- Mean-square random invariant manifolds for stochastic differential equations
- A dynamical theory for singular stochastic delay differential equations. II: Nonlinear equations and invariant manifolds
- Mean-square invariant manifolds for ill-posed stochastic evolution equations driven by nonlinear noise
- Setvalued dynamical systems for stochastic evolution equations driven by fractional noise
- Center manifolds for ill-posed stochastic evolution equations
- Global solutions and random dynamical systems for rough evolution equations
- \(C^1\) Hartman theorem for random dynamical systems
- Hörmander's theorem for semilinear SPDEs
- Random Attractors for Stochastic Evolution Equations Driven by Fractional Brownian Motion
- Homoclinic Bifurcations with Nonhyperbolic Equilibria
- Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
- Invariant manifolds for random and stochastic partial differential equations
- Invariant Manifolds for Infinite Dimensional Random Dynamical Systems
- Rough Center Manifolds
- The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations
- Fractional Brownian Motions, Fractional Noises and Applications
- Stochastic Lattice Dynamical Systems with Fractional Noise
- Probleme General de la Stabilite du Mouvement. (AM-17)
- Invariant manifolds
- A course on rough paths. With an introduction to regularity structures
- Center manifolds for rough partial differential equations
This page was built for publication: Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise
