Bounded multiplicity for eigenvalues of a circular vibrating clamped plate
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929373666344960 |
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| author | Lvovsky, Yuri Mangoubi, Dan |
| author_facet | Lvovsky, Yuri Mangoubi, Dan |
| contents | We prove that no eigenvalue of the clamped disk can have multiplicity greater than six. Our method of proof is based on a new recursion formula, linear algebra arguments and a transcendency theorem due to Siegel and Shidlovskii. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_12855 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Bounded multiplicity for eigenvalues of a circular vibrating clamped plate Lvovsky, Yuri Mangoubi, Dan Spectral Theory We prove that no eigenvalue of the clamped disk can have multiplicity greater than six. Our method of proof is based on a new recursion formula, linear algebra arguments and a transcendency theorem due to Siegel and Shidlovskii. |
| title | Bounded multiplicity for eigenvalues of a circular vibrating clamped plate |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/1907.12855 |