UNIQUENESS PROBLEM FOR SPDES FROM POPULATION MODELS

doi:10.1007/s10473-019-0313-4

Abstract

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.

Key words: Stochastic partial differential equation, superprocess, Fleming-Viot process, distribution function, backward doubly stochastic differential equation, pathwise uniqueness

CLC Number:

60H15

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

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