疲劳曲面下拉普拉斯算子的边界算子构造。- 1 .使用简单层电位

Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory Pub Date : 1900-01-01 DOI:10.1109/diped.2006.314312

A. D. Polishchuk

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引用次数: 3

摘要

研究了利用Hilbert空间中具有跳越边界面的法向导数元素的简单层势构造封闭曲面拉普拉斯边值问题的边界算子的方法。研究了这些算子的性质。现在我们提出了这些方法，并研究了在疲劳边界曲面情况下对应算子的性质

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Construction of Boundary Operators for the Laplacian in the Case of Tired Surface. - I. Using the Simple Layer Potential

Methods of construction of boundary operators for the boundary value problems for the Laplacian in the case of closed surface in R3 by means of simple layer potential in the Hilbert space normal derivatives elements of which have a jump through boundary surface were considered. The properties of these operators were investigated. Now we propose such methods and investigate the properties of corresponding operators in the case of tired boundary surface

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Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory

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