Justification of an integro-functional method for diffraction problems in the presence of a half-space

被引：1

作者：

Baryshev, A. V. ^{[1
]}

Eremin, Yu. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 09期

关键词：

Plane Wave; Normal Derivative; Transmission Condition; Unique Solvability; External Excitation;

D O I：

10.1134/S0012266108090085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we consider the discrete sources method as applied to the analysis of a scalar problem of the diffraction of a plane wave on a particle partly immersed in an absorbing half-space. The convergence of the method is proved with the use of a system of surface integral equations. We prove the Fredholm property of the obtained system and its unique solvability.

引用

页码：1281 / 1288

页数：8

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