RESEARCH NOTES On the support of super-Brownian motion with super-Brownian immigration |
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Institution: | 1. Institute of Mathematics, Fudan University, Shanghai 200433, China;Department of Mathematics, Gannan Normal College, Jiangxi 341000, China 2. Department of Mathematics, Gannan Normal College, Jiangxi 341000, China |
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Abstract: | The support properties of the super Brownian motion with random immigration Xρ1 are considered,where the immigration rate is governed by the trajectory of another super-Brownian motion ρ. When both the initial state Xρo of the process and the immigration rate process ρo are of finite measure and with compact supports, the probability of the support of the process Xρi dominated by a ball is given by the solutions of a singular elliptic boundary value problem. |
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Keywords: | super-Brownian motion immigration random medium singular boundary value problem |
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