An integrable bound for rough stochastic partial differential equations with applications to invariant manifolds and stability

Gaussian processes (60G15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Rough partial differential equations (60L50)

Cites Work

The Jain-Monrad criterion for rough paths and applications to random Fourier series and non-Markovian Hörmander theory
Rough differential equations with unbounded drift term
Integrability and tail estimates for Gaussian rough differential equations
Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing
Attractors for infinite-dimensional non-autonomous dynamical systems
Smoothness of the density for solutions to Gaussian rough differential equations
Some existence and regularity results for abstract non-autonomous parabolic equations
Non-autonomous rough semilinear PDEs and the multiplicative sewing lemma
A variation embedding theorem and applications
Invariant manifolds for stochastic wave equations
Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion
Dynamics of stochastic 2D Navier-Stokes equations
Densities for rough differential equations under Hörmander's condition
Differential equations driven by Gaussian signals
Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
Maximal space regularity for abstract linear non-autonomous parabolic equations
On quasilinear parabolic systems
Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space
Manifolds, tensor analysis, and applications.
Integral manifolds and inertial manifolds for dissipative partial differential equations
Differential equations driven by rough signals
Introduction to functional differential equations
Infinite-dimensional dynamical systems in mechanics and physics.
The stable manifold theorem for non-linear stochastic systems with memory. I: Existence of the semiflow.
The stable manifold theorem for non-linear stochastic systems with memory. II: The local stable manifold theorem.
Invariant manifolds for stochastic partial differential equations.
Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in \((1/2,1)\)
Asymptotical stability of differential equations driven by Hölder continuous paths
Stochastic analysis, rough path analysis and fractional Brownian motions.
A dynamical theory for singular stochastic delay differential equations. II: Nonlinear equations and invariant manifolds
Invariant manifolds and foliations for random differential equations driven by colored noise
Hörmander's theorem for semilinear SPDEs
Random dynamical systems, rough paths and rough flows
Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations
Distributions, Sobolev spaces, elliptic equations
Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors
Moving Interfaces and Quasilinear Parabolic Evolution Equations
Global Solutions to Rough Differential Equations with Unbounded Vector Fields
INVARIANT MANIFOLDS FOR STOCHASTIC MODELS IN FLUID DYNAMICS
Multidimensional Stochastic Processes as Rough Paths
Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
Invariant manifolds for random and stochastic partial differential equations
Interpolation Theory
Local Stability of Differential Equations Driven by Hölder-Continuous Paths with Hölder Index in (1/3,1/2)
Introduction to Applied Nonlinear Dynamical Systems and Chaos
Integrability of (Non-)Linear Rough Differential Equations and Integrals
Local zero-stability of rough evolution equations
Asymptotic Stability for Stochastic Dissipative Systems with a Hölder Noise
The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations
Global solutions for semilinear rough partial differential equations
Unstable manifolds for rough evolution equations
Analytic semigroups and optimal regularity in parabolic problems
A course on rough paths. With an introduction to regularity structures
Oseledets splitting and invariant manifolds on fields of Banach spaces
Center manifolds for rough partial differential equations
Random attractors for rough stochastic partial differential equations
Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise
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