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| 无穷维反应扩散过程的连续型极限——线性反应多物种情形 | |
| 引用本文： | 黄力平. 无穷维反应扩散过程的连续型极限——线性反应多物种情形[J]. 湖北大学学报(自然科学版), 1990, 0(1) |
| 作者姓名： | 黄力平 |
| 作者单位： | 湖北大学数学系 |
| 基金项目： | 国家自然科学基金赞助课题 |
| 摘 要： | 本文证明了在矩收敛的意义下,多物种线性反应扩散过程的极限是相应的反应扩散方程的解,而且当初始分布接近于各位置的Poisson测度的独立乘积时,过程的分布在任意时刻t亦接近于各位置的Poisson测度的独立乘积。 |
| 关 键 词： | 多物种 反应扩散过程 Poisson测度 |
THE CONTINUOUS LIMIT OF THE LINEAR REACTION DIFFUSION PROCESSE IN THE SEVERAL SPECIES CASE |
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| Huang Liping. THE CONTINUOUS LIMIT OF THE LINEAR REACTION DIFFUSION PROCESSE IN THE SEVERAL SPECIES CASE[J]. Journal of Hubei University(Natural Science Edition), 1990, 0(1) | |
| Authors: | Huang Liping |
| Affiliation: | Department of Mathematicos |
| Abstract: | This paper discussed the relation of the several species linear reaction diffusion processe and the corresponding reaction diffusion equation. In the sense of the convergence of moments,the limit of the processe is the solution of corresponding equation. As the initial distributions approximate the independent product of the Poisson measures at any sites, the distributions of the processe at any time do so and the means of the Poisson measures are the solution of the equation. |
| Keywords: | several species Reaction diffusion processe Poisson measures. |
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