Center manifolds for rough partial differential equations
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Publication:6164915
DOI10.1214/23-ejp938zbMath1528.60112arXiv2111.01488OpenAlexW3209536838MaRDI QIDQ6164915
Alexandra Neamţu, Christian Kuehn
Publication date: 4 July 2023
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.01488
Fractional processes, including fractional Brownian motion (60G22) Reaction-diffusion equations (35K57) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Rough paths (60L20) Rough partial differential equations (60L50)
Related Items (2)
Unstable manifolds for rough evolution equations ⋮ Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise
Cites Work
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- Non-linear rough heat equations
- A theory of regularity structures
- Multiple time scale dynamics
- Qualitative properties of local random invariant manifolds for SPDEs with quadratic nonlinearity
- Non-autonomous rough semilinear PDEs and the multiplicative sewing lemma
- Young integrals and SPDEs
- Invariant manifolds for stochastic wave equations
- Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Semigroups of linear operators and applications to partial differential equations
- A stochastic version of center manifold theory
- Geometric theory of semilinear parabolic equations
- Applications of centre manifold theory
- Smoothness of inertial manifolds
- Differential equations driven by rough signals
- Center manifolds for quasilinear reaction-diffusion systems
- Evolution equations driven by a fractional Brownian motion
- Sensitivity of rough differential equations: an approach through the omega lemma
- Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise
- Smooth stable and unstable manifolds for stochastic evolutionary equations
- Ergodicity of stochastic differential equations driven by fractional Brownian motion
- A center-stable manifold theorem for differential equations in Banach spaces
- Stability and random attractors for a reaction-diffusion equation with multiplicative noise
- Controlling rough paths
- A dynamical theory for singular stochastic delay differential equations. II: Nonlinear equations and invariant manifolds
- Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise
- Global solutions and random dynamical systems for rough evolution equations
- On a rough perturbation of the Navier-Stokes system and its vorticity formulation
- Rough evolution equations
- Hörmander's theorem for semilinear SPDEs
- Local mild solutions for rough stochastic partial differential equations
- Random dynamical systems, rough paths and rough flows
- A priori bounds for rough differential equations with a non-linear damping term
- Random Dynamical Systems for Stochastic Evolution Equations Driven by Multiplicative Fractional Brownian Noise with Hurst Parameters $H{\in} (1/3,1/2$]
- Approximation of Stochastic Invariant Manifolds
- Centre manifolds for stochastic evolution equations
- The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations
- Multidimensional Stochastic Processes as Rough Paths
- A dynamical approximation 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
- Rough path analysis via fractional calculus
- Flows Driven by Banach Space-Valued Rough Paths
- Rough Center Manifolds
- A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces
- Amplitude equations for SPDEs driven by fractional additive noise with small hurst parameter
- Stochastic Equations in Infinite Dimensions
- Random invariant manifolds for ill-posed stochastic evolution equations
- The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations
- Global solutions for semilinear rough partial differential equations
- Analytic semigroups and optimal regularity in parabolic problems
- A course on rough paths. With an introduction to regularity structures
- Dynamics of evolutionary equations
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