Strong Averaging Principle for a Class of Slow-fast Singular SPDEs Driven by α-stable Process

被引：0
|
作者：
Xiaobin Sun
Huilian Xia
Yingchao Xie
Xingcheng Zhou
机构：
[1] Jiangsu Normal University,School of Mathematics and Statistics
[2] Jiangsu Normal University,Research Institute of Mathematical Science
来源：
Frontiers of Mathematics | 2023年 / 18卷
关键词：
Stochastic partial differential equation; averaging principle; Zvonkin’s transformation; Hölder continuous; -stable process; 60H15; 60H17; 60E07;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the strong averaging principle is researched for a class of Hölder continuous drift slow-fast SPDEs with α-stable process by the Zvonkin’s transformation and the classical Khasminskii’s time discretization method. As applications, an example is also provided to explain our result.
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页码：565 / 590
页数：25
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