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[null,"1.","Record Nr.",null,"UNIORUON00164973"]
[null,null,"Autore",null,"YOSHIDA Seiichi"]
[null,null,"Titolo",null,"Akutagawa ryunosuke / Yoshida Seiichi"]
[null,null,"Pubbl/distr/stampa",null,"Tokyo, : Shinchosha, 1973"]
[null,null,"Descrizione fisica",null,"319 p. ; 15 cm"]
[null,null,"Classificazione",null,"GIA VI B"]
[null,null,"Soggetti",null,"LETTERATURA GIAPPONESE - SAGGISTICA - SEC. XX"]
[null,null,"Lingua di pubblicazione",null,"Giapponese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,"2.","Record Nr.",null,"UNINA9910299760903321"]
[null,null,"Autore",null,"Chekroun Mickaël D"]
[null,null,"Titolo",null,"Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I / / by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015"]
[null,null,"ISBN",null,"3-319-12496-X"]
[null,null,"Edizione",null,"[1st ed. 2015.]"]
[null,null,"Descrizione fisica",null,"1 online resource (136 p.)"]
[null,null,"Collana",null,"SpringerBriefs in Mathematics, , 2191-8198"]
[null,null,"Disciplina",null,"510"]
[{"$nulls":4},"515.352"]
[{"$nulls":4},"515.353"]
[{"$nulls":4},"515.39"]
[null,null,"Soggetti",null,"Dynamics"]
[{"$nulls":4},"Ergodic theory"]
[{"$nulls":4},"Differential equations, Partial"]
[{"$nulls":4},"Probabilities"]
[{"$nulls":4},"Differential equations"]
[{"$nulls":4},"Dynamical Systems and Ergodic Theory"]
[{"$nulls":4},"Partial Differential Equations"]
[{"$nulls":4},"Probability Theory and Stochastic Processes"]
[{"$nulls":4},"Ordinary Differential Equations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"General Introduction -- Stochastic Invariant Manifolds: Background and Main Contributions -- Preliminaries -- Stochastic Evolution Equations -- Random Dynamical Systems -- Cohomologous Cocycles and Random Evolution Equations  -- Linearized Stochastic Flow and Related Estimates  -- Existence and Attraction Properties of Global Stochastic Invariant Manifolds  -- Existence and Smoothness of Global Stochastic Invariant Manifolds -- Asymptotic Completeness of Stochastic Invariant Manifolds -- Local Stochastic Invariant Manifolds: Preparation to Critical Manifolds -- Local Stochastic Critical Manifolds: Existence and Approximation Formulas  -- Standing Hypotheses -- Existence of Local Stochastic Critical Manifolds  -- Approximation of Local Stochastic Critical Manifolds -- Proofs of Theorem 6.1 and Corollary 6.1 -- "]
[{"$nulls":4},"Approximation of Stochastic Hyperbolic Invariant Manifolds  -- A Classical and Mild Solutions of the Transformed RPDE  -- B Proof of Theorem 4.1 -- References."]
[null,null,null,"Sommario/riassunto","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-Perron integrals, which are further characterized in Volume II as pullback limits associated with some partially coupled backward-forward systems. This pullback characterization provides a useful interpretation of the corresponding approximating manifolds and leads to a simple framework that unifies some other approximation approaches in the literature. A self-contained survey is also included on the existence and attraction of one-parameter families of stochastic invariant manifolds, from the point of view of the theory of random dynamical systems."]