| 三维赫姆霍兹椭圆边值的新型积分方程 |
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| 引用本文： | 同登科,同小军.三维赫姆霍兹椭圆边值的新型积分方程[J].中国石油大学学报(自然科学版),1995(4). |
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| 作者姓名： | 同登科 同小军 |
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| 作者单位： | 石油大学数理系 |
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| 摘 要： | 给出了两类新型积分方程．一类是以守恒积分为工具，推导出三维赫姆尼兹椭圆边值的新型积分方程，其类型与经典方程不同，关于未知势是第一类Ｆｒｅｄｈｏｌｍ积分方程，与经典方程互补．另一类是利用傅氏变换，分离变量及傅里叶级数给出了三种典型域上的泊松积分公式和正则积分方程
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| 关 键 词： | 赫姆霍兹方程 积分方程 正则积分方程 |
NEW TYPE OF INTEGRAL EQUATIONS FOR THREE DIMENSIONAL HELMHOTZ ELLIPTIC BOUNDARY VALUE |
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| Tong Dengke,Tong Xiaojun.NEW TYPE OF INTEGRAL EQUATIONS FOR THREE DIMENSIONAL HELMHOTZ ELLIPTIC BOUNDARY VALUE[J].Journal of China University of Petroleum,1995(4). |
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| Authors: | Tong Dengke Tong Xiaojun |
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| Abstract: | This paper gives two kinds of integral equations. One is the integral equationfor three dimensional Helmhatz elliptic boundary value derived with cenversation integralmethod. It is of the second kind one for the unknown exterior normal derivation of potentialand the first kind one for the unknown potential. This is a new type of boundary integralequation of complement classic bourdary integral equation. The other is the expression of thepoisson integral formulas and the canonical integral equations in three typical domains bymeans of Fourier analysis. |
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| Keywords: | Helmhotz equation Integral equation Canonical integral equation |
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