03166nam 2200625 450 991082776420332120170816143336.01-4704-0523-7(CKB)3360000000465101(EBL)3114099(SSID)ssj0000889230(PQKBManifestationID)11493934(PQKBTitleCode)TC0000889230(PQKBWorkID)10876425(PQKB)10888742(MiAaPQ)EBC3114099(RPAM)15359690(PPN)195418069(EXLCZ)99336000000046510120080709h20082008 uy| 0engur|n|---|||||txtccrThe stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations /Salah-Eldin A. Mohammed, Tusheng Zhang, Huaizhong ZhaoProvidence, Rhode Island :American Mathematical Society,[2008]©20081 online resource (120 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 917"November 2008, volume 196, number 917 (fourth of 5 numbers )."0-8218-4250-1 Includes bibliographical references (pages 103-105).""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""Memoirs of the American Mathematical Society ;no. 917.Stochastic partial differential equationsStochastic integral equationsManifolds (Mathematics)Evolution equationsStochastic partial differential equations.Stochastic integral equations.Manifolds (Mathematics)Evolution equations.519.2Mohammed Salah-Eldin1946-57498Zhang Tusheng1963-Zhao Huaizhong1964-MiAaPQMiAaPQMiAaPQBOOK9910827764203321The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations4112184UNINA