Qualitative Properties of Local Random Invariant Manifolds for SPDEs with Quadratic Nonlinearity
arXiv:0812.0390
Abstract
The qualitative properties of local random invariant manifolds for stochastic partial differential equations with quadratic nonlinearities and multiplicative noise is studied by a cut off technique. By a detail estimates on the Perron fixed point equation describing the local random invariant manifold, the structure near a bifurcation is given.
22 pages, submitted