| 无穷维非齐次聚合分解过程的存在性和唯一性 |
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| 引用本文： | 胡春华,韩东.无穷维非齐次聚合分解过程的存在性和唯一性[J].数学年刊A辑(中文版),2007(5). |
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| 作者姓名： | 胡春华 韩东 |
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| 作者单位： | 上海交通大学数学系，上海交通大学数学系 上海 200240 湖南大学统计系，长沙 410079，上海 200240 |
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| 基金项目： | 国家自然科学基金(No．10371074)资助的项目 |
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| 摘 要： | 讨论了d-维整数格子点上的带扩散的聚合分解模型,证明了对应于这个随机模型的Feller过程的存在性和唯一性.
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| 关 键 词： | 非齐次聚合分解 鞅解 Feller过程 |
Existence and Uniqueness of Infinite Dimensional Heterogeneous Coagulation-Fragmentation Processes |
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| HU Chunhua HAN Dong.Existence and Uniqueness of Infinite Dimensional Heterogeneous Coagulation-Fragmentation Processes[J].Chinese Annals of Mathematics,2007(5). |
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| Authors: | HU Chunhua HAN Dong |
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| Institution: | HU Chunhua~* HAN Dong~** *Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China,College of Statistics,Hunan University,Changsha 410079,China.**Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China, |
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| Abstract: | This paper studies the heterogeneous coagulation-fragmentation model which models the coagulation,fragmentation and diffusion of clusters of particles on d-dimensions integer lattices,and proves that there exists a uniqueness Feller process corresponding to the infinite dimensional coagulation-fragmentation model. |
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| Keywords: | Heterogeneous coagulation-fragmentation Martingale solution Feller process |
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