@inproceedings{Cerrai2009NormalDF, title={Normal deviations from the averaged motion for some reaction – diffusion equations with fast oscillating perturbation}, author={Sandra Cerrai}, year={2009} }

- Published 2009

We study the normalized difference between the solution u of a reaction–diffusion equation in a bounded interval [0,L], perturbed by a fast oscillating term arising as the solution of a stochastic reaction–diffusion equation with a strong mixing behavior, and the solution ū of the corresponding averaged equation. We assume the smoothness of the reaction coefficient and we prove that a central limit type theorem holds. Namely, we show that the normalized difference (u − ū)/√ converges weakly in… CONTINUE READING