%0 Journal Article %T A Khasminskii type averaging principle for stochastic reaction-diffusion equations %A Sandra Cerrai %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0805.0294v1