Tabla de Contenidos:
  • 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.