Strong averaging principle for a class of slow-fast singular SPDEs driven by $\alpha$-stable process

Abstract

In this paper, the strong averaging principle is researched for a class of Hölder continuous drift slow-fast SPDEs with $\alpha$-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.

21 pages. To appear in Front. Math. China