On the solutions of Molodensky’s boundary value problem
On the solutions of Molodensky’s boundary value problem
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莫洛金斯基边值问题的解
DOI：
10.1007/bf02526971
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发表时间：
1964
期刊：
影响因子：
--
通讯作者：
V. V. Brovar
中科院分区：
文献类型：
--
作者：
V. V. Brovar
其中r '是从球面坐标为（9'，B '，L'）的表面S上的可变点到外部点为（p，B，L）的距离。将（2）代入（Ⅰ），得到第二类Fredholm积分方程。Molodensky提出了一种求解这类积分方程的一般方法，这种方法适用于许多第二类方程。这种方法特别适用于球上核为零的积分方程，因此，得到具有这种性质的新的积分方程是很有意义的。假设T是电荷层的广义势：
Jr'where r'is the distance from the variable peint on the surface S whose spherical coordinates (9', B', L') to an exterior point are (p, B, L). After substituting (2) in (I) we obtain Fredholm's integral equaticn of the second kind. A general method of solving this integral equation has been worked up by Molodensky, the method being suitable for many equations of secondary kind. This method is especially convenient for equation with the kernel becoming zero on the sphere, Therefore it is of interest to get new integral equations with such properties. Let us assume that T is a generalized potential of the layer of charge: