On the Nonexistence of Transmission Eigenvalues for Regions with Cavities

被引：1

作者：

Yan, Guozheng ^{[1
]}

Yao, Mao ^{[1
]}

机构：

[1] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 36卷 / 08期

关键词：

Helmholtz equation; Scattering problem; Transmission eigenvalues; INVERSE SCATTERING; ACOUSTIC-WAVES; EXISTENCE;

D O I：

10.1080/03605302.2011.574305

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the interior transmission problem when the inhomogeneous medium has a cavity region. In this case we establish the Fredholm property for this problem and show that there does not exist a transmission eigenvalue under a new condition.

引用

页码：1510 / 1519

页数：10

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