Strong averaging principle for a class of slow-fast singular SPDEs driven by $\alpha$-stable process
Probability
2021-05-11 v2
Abstract
In this paper, the strong averaging principle is researched for a class of H\"{o}lder continuous drift slow-fast SPDEs with -stable process by the Zvonkin's transformation and the classical Khasminkii's time discretization method. As applications, an example is also provided to explain our result.
Keywords
Cite
@article{arxiv.2011.11988,
title = {Strong averaging principle for a class of slow-fast singular SPDEs driven by $\alpha$-stable process},
author = {Xiaobin Sun and Huilian Xia and Yingchao Xie and Xingcheng Zhou},
journal= {arXiv preprint arXiv:2011.11988},
year = {2021}
}
Comments
21 pages. To appear in Front. Math. China