A class of interacting superprocesses on R, called superprocesses with dependent spatial motion (SDSMs), were introduced and studied in Wang  and Dawson et al. . In the present paper, we extend this model to allow particles moving in a bounded domain in Rd with killing boundary. We show that under a proper re-scaling, a class of discrete SPDEs for the empirical measure-valued processes generated by branching particle systems subject to the same white noise converge in L2(ω, F, P) to the SPDE for an SDSM on a bounded domain and the corresponding martingale problem for the SDSMs on a bounded domain is well-posed.
|Original language||English (US)|
|Number of pages||29|
|Journal||Osaka Journal of Mathematics|
|State||Published - Jun 2009|
ASJC Scopus subject areas