A Khasminskii type averaging principle for stochastic reaction-diffusion equations

Details A Khasminskii type averaging principle for stochastic reaction-diffusion equations A Khasminskii type averaging principle for stochastic reaction-diffusion equations

2008-05-02

arxiv.org/abs/0805.0294v1

Mathematics

Probability

Scientific paper

We prove that an averaging principle holds for a general class of stochastic
reaction-diffusion systems, having unbounded multiplicative noise, in any space
dimension. We show that the classical Khasminskii approach for systems with a
finite number of degrees of freedom can be extended to infinite dimensional
systems.

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