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



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Autore: Mohammed Salah-Eldin <1946-> Visualizza persona
Titolo: The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations / / Salah-Eldin A. Mohammed, Tusheng Zhang, Huaizhong Zhao Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2008]
©2008
Descrizione fisica: 1 online resource (120 p.)
Disciplina: 519.2
Soggetto topico: Stochastic partial differential equations
Stochastic integral equations
Manifolds (Mathematics)
Evolution equations
Soggetto genere / forma: Electronic books.
Persona (resp. second.): ZhangTusheng <1963->
ZhaoHuaizhong <1964->
Note generali: "November 2008, volume 196, number 917 (fourth of 5 numbers )."
Nota di bibliografia: Includes bibliographical references (pages 103-105).
Nota di contenuto: ""Contents""; ""Introduction""; ""Part 1. The stochastic semiflow""; ""Â1.1 Basic concepts""; ""Â1.2 Flows and cocycles of semilinear see's""; ""(a) Linear see's""; ""(b) Semilinear see's""; ""Â1.3 Semilinear spde's: Lipschitz nonlinearity""; ""Â1.4 Semilinear spde's: Non- Lipschitz nonlinearity""; ""(a) Stochastic reaction diffusion equations""; ""(b) Burgers equation with additive noise""; ""Part 2. Existence of stable and unstable manifolds""; ""Â2.1 Hyperbolicity of a stationary trajectory""; ""Â2.2 The nonlinear ergodic theorem""
""Â2.3 Proof of the local stable manifold theorem""""Â2.4 The local stable manifold theorem for see's and spde's""; ""(a) See's: Additive noise""; ""(b) Semilinear see's: Linear noise""; ""(c) Semilinear parabolic spde's: Lipschitz nonlinearity""; ""(d) Stochastic reaction diffusion equations: Dissipative nonlinearity""; ""(e) Stochastic Burgers equation: Additive noise""; ""Acknowledgments""; ""Bibliography""
Titolo autorizzato: The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations  Visualizza cluster
ISBN: 1-4704-0523-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480868803321
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Serie: Memoirs of the American Mathematical Society ; ; no. 917.