Articles

UNIQUENESS PROBLEM FOR SPDES FROM POPULATION MODELS

  • Jie XIONG ,
  • Xu YANG
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  • 1. Department of Mathematicss, Southern University of Science and Technology, Shenzhen 518055, China;
    2. School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China

Received date: 2018-03-23

  Revised date: 2018-05-28

  Online published: 2019-06-27

Supported by

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

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.

Cite this article

Jie XIONG , Xu YANG . UNIQUENESS PROBLEM FOR SPDES FROM POPULATION MODELS[J]. Acta mathematica scientia, Series B, 2019 , 39(3) : 845 -856 . DOI: 10.1007/s10473-019-0313-4

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