Range of the first three eigenvalues of the planar Dirichlet Laplacian
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2002
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908599997956096 |
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| author | Levitin, Michael Yagudin, Rustem |
| author_facet | Levitin, Michael Yagudin, Rustem |
| contents | We conduct extensive numerical experiments aimed at finding the admissible range of the ratios of the first three eigenvalues of a planar Dirichlet Laplacian. The results improve the previously known theoretical estimates of M Ashbaugh and R Benguria. We also prove some properties of a maximizer of the ratio $λ_3/λ_1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0203231 |
| institution | arXiv |
| publishDate | 2002 |
| record_format | arxiv |
| spellingShingle | Range of the first three eigenvalues of the planar Dirichlet Laplacian Levitin, Michael Yagudin, Rustem Spectral Theory Numerical Analysis 35P15 (Primary); 65N25 (Secondary) We conduct extensive numerical experiments aimed at finding the admissible range of the ratios of the first three eigenvalues of a planar Dirichlet Laplacian. The results improve the previously known theoretical estimates of M Ashbaugh and R Benguria. We also prove some properties of a maximizer of the ratio $λ_3/λ_1$. |
| title | Range of the first three eigenvalues of the planar Dirichlet Laplacian |
| topic | Spectral Theory Numerical Analysis 35P15 (Primary); 65N25 (Secondary) |
| url | https://arxiv.org/abs/math/0203231 |