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

(2022) Zonghao Li et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Non-autonomous rough semilinear PDEs and the multiplicative Sewing lemma

(2021) Andris Gerasimovičs et al.   JOURNAL OF FUNCTIONAL ANALYSIS

C1 Hartman Theorem for random dynamical systems

(2020) Kening Lu et al.   ADVANCES IN MATHEMATICS

Setvalued Dynamical Systems for Stochastic Evolution Equations Driven by Fractional Noise

(2019) M. J. Garrido-Atienza et al.   Journal of Dynamics and Differential Equations

Stochastic Lattice Dynamical Systems with Fractional Noise

(2017) Hakima Bessaih et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Invariant Manifolds for Random and Stochastic Partial Differential Equations

(2016) Tomás Caraballo et al.   ADVANCED NONLINEAR STUDIES

Random Attractors for Stochastic Evolution Equations Driven by Fractional Brownian Motion

(2014) Hongjun Gao et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than $1/2$ and random dynamical systems

(2013) Yong Chen et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations

(2013) Salah-Eldin A. Mohammed et al.   MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Mean-square random dynamical systems

(2012) Peter E. Kloeden et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Ergodicity of the Infinite Dimensional Fractional Brownian Motion

(2011) María J. Garrido-Atienza et al.   Journal of Dynamics and Differential Equations

Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion

(2010) María Garrido–Atienza et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space

(2010) Zeng Lian et al.   MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion

(2009) María J. Garrido-Atienza et al.   JOURNAL OF DIFFERENTIAL EQUATIONS