The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations / [electronic resource] Salah-Eldin A. Mohammed, Tusheng Zhang, Huaizhong Zhao.

By: Mohammed, Salah-Eldin, 1946-Contributor(s): Zhang, Tusheng, 1963- | Zhao, Huaizhong, 1964-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 917.Publication details: Providence, R.I. : American Mathematical Society, 2008Description: 1 online resource (vi, 105 p. : ill.)ISBN: 9781470405236 (online)Subject(s): Stochastic partial differential equations | Stochastic integral equations | Manifolds (Mathematics) | Evolution equationsAdditional physical formats: stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations /DDC classification: 519.2 LOC classification: QA274.25 | .M64 2008Online resources: Contents | Contents
Contents:
Introduction 1. The stochastic semiflow 1.1 Basic concepts 1.2 Flows and cocycles of semilinear see's 1.3 Semilinear spde's: Lipschitz nonlinearity 1.4 Semilinear spde's: Non-Lipschitz nonlinearity 2. Existence of stable and unstable manifolds 2.1 Hyperbolicity of a stationary trajectory 2.2 The nonlinear ergodic theorem 2.3 Proof of the local stable manifold theorem 2.4 The local stable manifold theorem for see's and spde's
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"November 2008, volume 196, number 917 (fourth of 5 numbers )."

Includes bibliographical references (p. 103-105).

Introduction 1. The stochastic semiflow 1.1 Basic concepts 1.2 Flows and cocycles of semilinear see's 1.3 Semilinear spde's: Lipschitz nonlinearity 1.4 Semilinear spde's: Non-Lipschitz nonlinearity 2. Existence of stable and unstable manifolds 2.1 Hyperbolicity of a stationary trajectory 2.2 The nonlinear ergodic theorem 2.3 Proof of the local stable manifold theorem 2.4 The local stable manifold theorem for see's and spde's

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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