| 拉普拉斯算子的研究 |
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| 引用本文： | 傅秋桃. 拉普拉斯算子的研究[J]. 郧阳师范高等专科学校学报, 2008, 28(3): 13-14 |
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| 作者姓名： | 傅秋桃 |
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| 作者单位： | 郧阳师范高等专科学校,数学系,湖北,丹江口,442700 |
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| 摘 要： | 在许多的教科书中，通过利用直角坐标和极坐标的转换，然后再应用复合函数的求导法则，得出了拉普拉斯算子的表达式，而本文则用变分原理导出了柱面坐标下的拉普拉斯算子的表达式．
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| 关 键 词： | 拉普拉斯算子 变分法 格林函数 |
A Research on Laplacian Operator |
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| FU Qiu-tao. A Research on Laplacian Operator[J]. Journal of Yunyang Teachers College, 2008, 28(3): 13-14 |
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| Authors: | FU Qiu-tao |
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| Affiliation: | FU Qiu-tao (Maths Department,Yunyang Teachers' College,Danjiangkou 442700,China) |
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| Abstract: | In many textbooks,the formula of Laplacian Operator is obtained by the change of rectangular coordinates and polar coordinates and the derivation rule of compound function.In this paper,the formula of Laplacian Operator in cylindrical coordinates is obtained by the variational principle. |
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| Keywords: | Laplacian operator variational method green function |
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