MIT bag in non-smooth convex domains
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908558441840640 |
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| author | Pankrashkin, Konstantin |
| author_facet | Pankrashkin, Konstantin |
| contents | The Dirac operator with MIT bag boundary condition in a bounded convex domain is shown to be always self-adjoint in the $H^1$-setting. This allows one to show that such operators appear as limit of Dirac operators with large positive mass outside the domain. Similar results were previously known for smooth domains only. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20958 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | MIT bag in non-smooth convex domains Pankrashkin, Konstantin Analysis of PDEs Mathematical Physics Spectral Theory The Dirac operator with MIT bag boundary condition in a bounded convex domain is shown to be always self-adjoint in the $H^1$-setting. This allows one to show that such operators appear as limit of Dirac operators with large positive mass outside the domain. Similar results were previously known for smooth domains only. |
| title | MIT bag in non-smooth convex domains |
| topic | Analysis of PDEs Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2509.20958 |