Curl curl versus Dirichlet Laplacian eigenvalues
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908372495761408 |
|---|---|
| author | Rohleder, Jonathan |
| author_facet | Rohleder, Jonathan |
| contents | We provide an upper estimate for the eigenvalues of the curl curl operator on a bounded, three-dimensional Euclidean domain in terms of eigenvalues of the Dirichlet Laplacian. The result complements recent inequalities between curl curl and Neumann Laplacian eigenvalues. The curl curl eigenvalues considered here correspond to the Maxwell eigenvalue problem with constant material parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11301 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Curl curl versus Dirichlet Laplacian eigenvalues Rohleder, Jonathan Spectral Theory Analysis of PDEs We provide an upper estimate for the eigenvalues of the curl curl operator on a bounded, three-dimensional Euclidean domain in terms of eigenvalues of the Dirichlet Laplacian. The result complements recent inequalities between curl curl and Neumann Laplacian eigenvalues. The curl curl eigenvalues considered here correspond to the Maxwell eigenvalue problem with constant material parameters. |
| title | Curl curl versus Dirichlet Laplacian eigenvalues |
| topic | Spectral Theory Analysis of PDEs |
| url | https://arxiv.org/abs/2404.11301 |