多物种无穷维反应扩散粒子系统鞅解的存在性
EXISTENCE OF SOLUTION TO THE MARTINGALE PROBLEM FOR MULTISPECIES INFINITE DIMENSIONAL REACTION DIFFUSION PARTICLE SYSTEMS
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摘要: 本文利用有限维逼近的方法证明了一类扩散速度不超过线性的多物种无穷维反应扩散粒子系统鞅解的存在性。Abstract: In this paper, we prove the existence of solution to the martingale problem for inflnite dimensional reaction-diffasion particle systems with the rate of diffusion being at most lincar.