Approximation of Stochastic Invariant Manifolds Stochastic Manifolds for Nonlinear SPDEs I /
This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov...
| Published in: | Springer eBooks |
|---|---|
| Main Authors: | , , |
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
|
| Series: | SpringerBriefs in Mathematics,
|
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-319-12496-4 Перейти в каталог НБ ТГУ |
Table of Contents:
- General Introduction
- Stochastic Invariant Manifolds: Background and Main Contributions
- Preliminaries
- Stochastic Evolution Equations
- Random Dynamical Systems
- Cohomologous Cocycles and Random Evolution Equations
- Linearized Stochastic Flow and Related Estimates
- Existence and Attraction Properties of Global Stochastic Invariant Manifolds
- Existence and Smoothness of Global Stochastic Invariant Manifolds
- Asymptotic Completeness of Stochastic Invariant Manifolds
- Local Stochastic Invariant Manifolds: Preparation to Critical Manifolds
- Local Stochastic Critical Manifolds: Existence and Approximation Formulas
- Standing Hypotheses
- Existence of Local Stochastic Critical Manifolds
- Approximation of Local Stochastic Critical Manifolds
- Proofs of Theorem 6.1 and Corollary 6.1
- Approximation of Stochastic Hyperbolic Invariant Manifolds
- A Classical and Mild Solutions of the Transformed RPDE
- B Proof of Theorem 4.1
- References.