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

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Abstract

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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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 12271219, 11931004, 12090010, 12090011), Graduate Research and Innovation Program in Jiangsu Province (No. KYCX20_2204), the QingLan Project of Jiangsu Province and the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116, China

    **aobin Sun, Huilian **a, Yingchao **e & **ngcheng Zhou

  2. Research Institute of Mathematical Science, Jiangsu Normal University, Xuzhou, 221116, China

    **aobin Sun & Yingchao **e

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  1. **aobin Sun
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  2. Huilian **a
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  3. Yingchao **e
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  4. **ngcheng Zhou
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Correspondence to **aobin Sun.

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Sun, X., **a, H., **e, Y. et al. Strong Averaging Principle for a Class of Slow-fast Singular SPDEs Driven by α-stable Process. Front. Math 18, 565–590 (2023). https://doi.org/10.1007/s11464-021-0069-8

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  • DOI: https://doi.org/10.1007/s11464-021-0069-8

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