| 一类具有无穷边值非线性Dirichlet问题的概率解 |
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| 引用本文： | 赵学雷.一类具有无穷边值非线性Dirichlet问题的概率解[J].北京师范大学学报(自然科学版),1994,30(3):285-289. |
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| 作者姓名： | 赵学雷 |
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| 作者单位： | 北京师范大学数学系，汕头大学数学研究所 |
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| 摘 要： | 通过研究超过程及其在有界区域边界上的分布，得到了一个极限定理，作为应用，给出了一类具有无穷边值非线性Ｄｉｒｉｃｈｌｅｔ问题解的概率表示。
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| 关 键 词： | 非线性 狄利克雷问题 概率解 |
A PROBABILISTIC APPROACH TO ONE CLASS OF NONLINEAR DIRICHLET'S PROBLEMS WITH INFINITE BOUNDARY VALUES |
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| Zhao Xuelei.A PROBABILISTIC APPROACH TO ONE CLASS OF NONLINEAR DIRICHLET''''S PROBLEMS WITH INFINITE BOUNDARY VALUES[J].Journal of Beijing Normal University(Natural Science),1994,30(3):285-289. |
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| Authors: | Zhao Xuelei |
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| Abstract: | A limit theorem for distribution on boundary of a bounded domain of superdiffusions is obtained. As its application, the minimal solution of a class of non-linear Dirichlet's problems with infinite boundary-values is represented through probabilistic method. |
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| Keywords: | superprocesses branching characteristic regular domain nonlinear Dirichlet's problem |
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