边值问题虚拟压缩恢复原理及其在Bjerhammar理论中的一个应用

论文摘要

在引力位虚拟压缩恢复法的基础上,进一步发展该法,使其适合于任意一个正则调和函数u。对于任意一个有限单连通形体Ω(其边界是简单封闭曲面),假如给定了边值u|Ω,并且假定u在上述形体的外部调和,在无穷远处正则,则可根据虚拟压缩恢复思想精确而严密地求出整个外部空间的u场。于是,可将虚拟压缩恢复法提升为虚拟压缩恢复原理。作为一个应用实例,本文简明地给出了Bjerhammar理论所需要的虚拟重力异常。更多还原

【Abstract】 The fictitious compress recuperation method is further developed, so that it is suitable for any regular harmonic function u. For an arbitrary finite body Ω　with a simply closed surface, if the boundary value u|(Ω) was given, and it is assumed that the function u is harmonic in the region outside the body and regular at infinity, one can precisely and strictly determine the external field u by using the idea of the fictitious compress recuperation. Hence, it is reasonable to generalize the met... 更多还原

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