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UNIQUENESS PROBLEM FOR SPDES FROM POPULATION MODELS |
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| Authors: | Jie XIONG Xu YANG |
| 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. |
| Keywords: | Stochastic partial differential equation superprocess Fleming-Viot process distribution function backward doubly stochastic differential equation pathwise uniqueness |
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