Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914097305485312 |
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| author | Pankrashkin, Konstantin Sk, Firoj Vogel, Marco |
| author_facet | Pankrashkin, Konstantin Sk, Firoj Vogel, Marco |
| contents | We study the asymptotic behavior of individual eigenvalues of the Laplacian in domains with outward peaks for large negative Robin parameters. A large class of cross-sections is allowed, and the resulting asymptotic expansions reflect both the sharpness of the peak and the geometric shape of its cross-section. The results are an extension of previous works dealing with peaks whose cross-sections are balls. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04996 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks Pankrashkin, Konstantin Sk, Firoj Vogel, Marco Analysis of PDEs Spectral Theory 35P15, 35P20, 47A75, 49R05, 58C40 We study the asymptotic behavior of individual eigenvalues of the Laplacian in domains with outward peaks for large negative Robin parameters. A large class of cross-sections is allowed, and the resulting asymptotic expansions reflect both the sharpness of the peak and the geometric shape of its cross-section. The results are an extension of previous works dealing with peaks whose cross-sections are balls. |
| title | Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks |
| topic | Analysis of PDEs Spectral Theory 35P15, 35P20, 47A75, 49R05, 58C40 |
| url | https://arxiv.org/abs/2504.04996 |