Qualitative Properties of Local Random Invariant Manifolds for SPDEs with Quadratic Nonlinearity

Details Qualitative Properties of Local Random Invariant Manifolds for SPDEs with Quadratic Nonlinearity Qualitative Properties of Local Random Invariant Manifolds for SPDEs with Quadratic Nonlinearity

2008-12-01

arxiv.org/abs/0812.0390v2

Mathematics

Dynamical Systems

22 pages, submitted

Scientific paper

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.

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