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Uniqueness Problem for SPDEs from Population Models

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Abstract

This is a survey on the strong uniqueness of the solutions to stochastic partial differential equations (SPDEs) related to two measure-valued processes: superprocess and Fleming-Viot process which are given as rescaling limits of population biology models. We summarize recent results for Konno-Shiga-Reimers’ and Mytnik’s SPDEs, and their related distribution-function-valued SPDEs.

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Authors and Affiliations

  1. Department of Mathematics, Southern University of Science and Technology, Shenzhen, 518055, China

    Jie Xiong

  2. School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, China

    Xu Yang

Authors
  1. Jie Xiong
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  2. Xu Yang
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Corresponding authors

Correspondence to Jie Xiong or Xu Yang.

Additional information

Supported partially by SUST startup fund 28/Y01286120, NSF of Ningxia (2018AAC03245), NSFC (11771018), and First-Class Disciplines Foundation Ningxia (NXYLXK2017B09).

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Xiong, J., Yang, X. Uniqueness Problem for SPDEs from Population Models. Acta Math Sci 39, 845–856 (2019). https://doi.org/10.1007/s10473-019-0313-4

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  • DOI: https://doi.org/10.1007/s10473-019-0313-4

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