TY - BOOK AU - Mohammed,Salah-Eldin AU - Zhang,Tusheng AU - Zhao,Huaizhong TI - The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations T2 - Memoirs of the American Mathematical Society, SN - 9781470405236 (online) AV - QA274.25 .M64 2008 U1 - 519.2 22 PY - 2008/// CY - Providence, R.I. PB - American Mathematical Society KW - Stochastic partial differential equations KW - Stochastic integral equations KW - Manifolds (Mathematics) KW - Evolution equations N1 - "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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0917 UR - http://dx.doi.org/10.1090/memo/0917 ER -