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
收藏
页码：1510 / 1519
页数：10
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