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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2102.00275 |
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| _version_ | 1866911787319820288 |
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| author | Gontier, David |
| author_facet | Gontier, David |
| contents | We present a general framework to study edge states for second order elliptic operators in a half channel. We associate an integer valued index to some bulk materials, and we prove that for any junction between two such materials, localised states must appear at the boundary whenever the indices differ. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_00275 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Edge states for second order elliptic operators in a channel Gontier, David Analysis of PDEs Materials Science Mathematical Physics 35P05, 47F10, 37K25 We present a general framework to study edge states for second order elliptic operators in a half channel. We associate an integer valued index to some bulk materials, and we prove that for any junction between two such materials, localised states must appear at the boundary whenever the indices differ. |
| title | Edge states for second order elliptic operators in a channel |
| topic | Analysis of PDEs Materials Science Mathematical Physics 35P05, 47F10, 37K25 |
| url | https://arxiv.org/abs/2102.00275 |