The stable manifold theorum for semilinear stochastic evolution equations and stochastic partial differential equations. II: Existence of stable and unstable manifolds.
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- Type
- preprint
- Published
- 2005-03-16
- Cited by
- 4
- References
- 102
- Access
- Open access
- OpenAlex
- https://openalex.org/W115350923
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:8176756
Keywords
Mathematics, Ergodic theory, Stochastic partial differential equation, Manifold (fluid mechanics), Mathematical analysis
References
- The Stable Manifold Theorem for Stochastic Differential Equations (Dynamical Systems and Probability Seminar, Loughborough University)
- Random Linear Operators
- Lyapunov exponents of linear stochastic functional differential equations driven by semimartingales.
- Stochastic functional differential equations
- Convex analysis and measurable multifunctions
- Stochastic flows and stochastic differential equations
- Partial Differential Equations of Parabolic Type
- Review: C. Castaing and M. Valadier, Convex analysis and measurable multifunctions
- INVARIANT MANIFOLDS FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
- Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors. Cambridge Texts in Applied Mathematics
- Stochastic parabolic equations in bounded domains: random evolution operator and Lyapunov exponents
- Stochastic flows for nonlinear second-order parabolic SPDE
- The stochastic Burgers Equation
- Stochastic inertial manifold
- Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation
- Invariant measures for Burgers equation with stochastic forcing
- Infinite-Dimensional Dynamical Systems in Mechanics and Physics (Roger Temam)
- Stochastic Navier-stokes equations with multiplicative noise
- A multiplicative ergodic theorem with applications to a first order stochastic hyperbolic equation in a bounded domain
- The propagation of travelling waves for stochastic generalized KPP equations
Cited by
- Pathwise stationary solutions of stochastic differential equations and backward doubly stochastic differential equations on infinite horizon
- The stable manifold theorem for semi-linear stochastic evolution equations and stochastic partial differential equations. I: The stochastic semiflow
- Numerical Approximations to the Stationary Solutions of Stochastic Differential Equations
- Porous media equations with nonlinear gradient noise and Dirichlet boundary conditions
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