| 变数分离的椭圆型方程基本解的升维结构 |
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| 引用本文： | 程素森 张兆田. 变数分离的椭圆型方程基本解的升维结构[J]. 包头钢铁学院学报, 1994, 13(2): 1-6 |
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| 作者姓名： | 程素森 张兆田 |
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| 作者单位： | [1]包头钢铁学院 [2]北京信息工程学院 |
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| 摘 要： | 本文利用一种新方法给出了变系数抛物型方程与椭圆型方程基本解的关系。在此基础上，给出了Ｔｉｃｈｍａｒｓｈ升维结构关系，也即通过低维椭圆型方程的基本解去构造高维的椭圆型方程基本解。
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| 关 键 词： | 抛物型方程 椭圆型方程 基本解 升维结构 |
ASCENDING DIMENSION CONSTRUCTION FOR FUNDAMENTAL SOLUTION OF ELLIPTIC EQUATION WITH SEPARABLE SPACE VARIABLE |
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| Cheng Susen, Zhang Zhaotian, Qiu Peizhang. ASCENDING DIMENSION CONSTRUCTION FOR FUNDAMENTAL SOLUTION OF ELLIPTIC EQUATION WITH SEPARABLE SPACE VARIABLE[J]. Journal of Baotou University of Iron and Steel Technology, 1994, 13(2): 1-6 |
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| Authors: | Cheng Susen Zhang Zhaotian Qiu Peizhang |
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| Affiliation: | Cheng Susen; Zhang Zhaotian; Qiu Peizhang |
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| Abstract: | in this paper, the relationship between the parabolic equation and the elliptic equation is given by a new method. On the basis we prove that the fundamental Solution of the elliptic equations can be constructed by Tichmarsh ascending dimension construction. |
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| Keywords: | parabolic equation elliptic equation fundamental solution ascending dimension construction |
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