The interior transmission eigenvalue problem for absorbing media (Q2882699)
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scientific article; zbMATH DE number 6031409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The interior transmission eigenvalue problem for absorbing media |
scientific article; zbMATH DE number 6031409 |
Statements
The interior transmission eigenvalue problem for absorbing media (English)
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7 May 2012
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interior transmission eigenvalue problem
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absorbing media
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0.9450586
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0.9437909
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0.9425045
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0.94057214
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0.9285506
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0.9266043
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0.9252016
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0.92357135
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0.9199544
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0.91817665
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In this paper, the authors initiate a study of the transmission eigenvalue problem for absorbing media. The authors show that, in the case of absorbing media, transmission eigenvalues form a discrete set, exist for sufficiently small absorption, and for spherically stratified media exist without this assumption. For a constant index of refraction, the authors obtain regions in the complex plane where transmission eigenvalues cannot exist and obtain a priori estimates for real transmission eigenvalues.
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