On the spectral theory of sign-changing Laplace operators
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913681351114752 |
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| author | de Verdière, Yves Colin |
| author_facet | de Verdière, Yves Colin |
| contents | We study spectral theory of sign-changing Laplace operators using semi-classical Dirichlet-to-Neumann maps. We prove the existence of modesconcentrated on the interface and describe an effective semi-classical equation for them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the spectral theory of sign-changing Laplace operators de Verdière, Yves Colin Analysis of PDEs Mathematical Physics Spectral Theory We study spectral theory of sign-changing Laplace operators using semi-classical Dirichlet-to-Neumann maps. We prove the existence of modesconcentrated on the interface and describe an effective semi-classical equation for them. |
| title | On the spectral theory of sign-changing Laplace operators |
| topic | Analysis of PDEs Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2502.03838 |