Transmission eigenvalue-free regions near the real axis. II
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912120242700288 |
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| author | Vodev, Georgi |
| author_facet | Vodev, Georgi |
| contents | In this paper we extend the results in [16] to more general domains. More precisely, we obtain transmission eigenvalue-free regions for the interior transmission problem with one complex-valued refraction index, that is, with a damping term which does not vanish on the boundary. In particular, we remove the non-trapping condition as well as the strict concavity condition from [16]. Instead, we impose new, more general conditions in terms of the highfrequency behavior of certain cut-off resolvents associated to exterior problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23713 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transmission eigenvalue-free regions near the real axis. II Vodev, Georgi Analysis of PDEs In this paper we extend the results in [16] to more general domains. More precisely, we obtain transmission eigenvalue-free regions for the interior transmission problem with one complex-valued refraction index, that is, with a damping term which does not vanish on the boundary. In particular, we remove the non-trapping condition as well as the strict concavity condition from [16]. Instead, we impose new, more general conditions in terms of the highfrequency behavior of certain cut-off resolvents associated to exterior problems. |
| title | Transmission eigenvalue-free regions near the real axis. II |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.23713 |