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Record Nr. |
UNINA9910827764203321 |
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Autore |
Mohammed Salah-Eldin <1946-> |
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Titolo |
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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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2008] |
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©2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (120 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 917 |
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Disciplina |
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Soggetti |
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Stochastic partial differential equations |
Stochastic integral equations |
Manifolds (Mathematics) |
Evolution equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"November 2008, volume 196, number 917 (fourth of 5 numbers )." |
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Nota di bibliografia |
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Includes bibliographical references (pages 103-105). |
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Nota di contenuto |
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""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"" |
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