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Strong averaging principle for a class of slow-fast singular SPDEs driven by $\alpha$-stable process
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math.PR
keywords
alphaaveragingclassprincipleprocessslow-fastspdesstable
abstract
In this paper, the strong averaging principle is researched for a class of H\"{o}lder 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.
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