Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear Spdes I

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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 ...

Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear Spdes I 2015, Springer

ISBN-13: 9783319124957

2015 edition

Trade paperback

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