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1.

電子ブック

EB
by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-12496-4
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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
General Introduction
Stochastic Invariant Manifolds: Background and Main Contributions
Preliminaries
2.

電子ブック

EB
by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-12520-6
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目次情報: 続きを見る
General Introduction
Preliminaries
Invariant Manifolds
Pullback Characterization of Approximating, and Parameterizing Manifolds
Non-Markovian Stochastic Reduced Equations
On-Markovian Stochastic Reduced Equations on the Fly
Proof of Lemma 5.1.-References
Index.
General Introduction
Preliminaries
Invariant Manifolds