Boundary Perturbations of Steklov Eigenvalues
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912830035329024 |
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| author | Wang, Lihan |
| author_facet | Wang, Lihan |
| contents | We consider the dependence of non-zero Steklov eigenvalues on smooth perturbations of the domain boundary. We prove that these eigenvalues are generically simple under such boundary perturbations. This result complements our previous work on metric perturbations, thereby establishing generic simplicity Steklov eigenvalues under both fundamental geometric variations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_12077 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Boundary Perturbations of Steklov Eigenvalues Wang, Lihan Spectral Theory Differential Geometry 53C21, 58J50 We consider the dependence of non-zero Steklov eigenvalues on smooth perturbations of the domain boundary. We prove that these eigenvalues are generically simple under such boundary perturbations. This result complements our previous work on metric perturbations, thereby establishing generic simplicity Steklov eigenvalues under both fundamental geometric variations. |
| title | Boundary Perturbations of Steklov Eigenvalues |
| topic | Spectral Theory Differential Geometry 53C21, 58J50 |
| url | https://arxiv.org/abs/2601.12077 |