Normal deviations from the averaged motion for some reaction – diffusion equations with fast oscillating perturbation

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