UNIQUENESS PROBLEM FOR SPDES FROM POPULATION MODELS  

作　　者：Jie XIONG Xu YANG 熊捷;杨叙(Department of Mathematicss,Southern University of Science and Technology,Shenzhen 518055,China;School of Mathematics and Information Science,North Minzu University,Yinchuan 750021,China)

机构地区：[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

出　　处：《Acta Mathematica Scientia》2019年第3期845-856,共12页数学物理学报（B辑英文版）

基　　金：Supported partially by SUST startup fund 28/Y01286120;NSF of Ningxia(2018AAC03245);NSFC(11771018);First-Class Disciplines Foundation Ningxia(NXYLXK2017B09)

摘　　要：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.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-Reimers1 and Mytnik's SPDEs, and their related distribution-function-valued SPDEs.

关 键 词：STOCHASTIC partial DIFFERENTIAL EQUATION SUPERPROCESS Fleming-Viot process distribution function backward doubly STOCHASTIC DIFFERENTIAL EQUATION pathwise UNIQUENESS 

分 类 号：O[理学]