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On the Nonexistence of Transmission Eigenvalues for Regions with Cavities |
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| Authors: | Guozheng Yan Mao Yao |
| Affiliation: | 1. Faculty of Mathematics and Statistics , Central China Normal University , Wuhan, China yan_gz@mail.ccnu.edu.cn;3. Faculty of Mathematics and Statistics , Central China Normal University , Wuhan, China |
| Abstract: | 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. |
| Keywords: | Helmholtz equation Scattering problem Transmission eigenvalues |