SOME INTERIOR AND EXTERIOR BOUNDARY-VALUE-PROBLEMS FOR THE HELMHOLTZ-EQUATION IN A QUADRANT

被引：34

作者：

MEISTER, E ^{[1
]}

PENZEL, F ^{[1
]}

SPECK, FO ^{[1
]}

TEIXEIRA, FS ^{[1
]}

机构：

[1] Univ Tecn Lisboa, DEPT MATEMAT, INST SUPER TECN, P-1096 LISBON, PORTUGAL

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1993年 / 123卷

关键词：

D O I：

10.1017/S0308210500025671

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Dirichlet, Neumann and mixed boundary-value problems for the two-dimensional Helmholtz equation in the interior or exterior of a quadrant are considered in a Sobolev space setting. It is shown that the potential operators arising in the interior problems can be used to derive systems of boundary integral equations to the exterior problems, which can be solved explicitly.

引用

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页码：275 / 294

页数：20

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