A two-point generalisation of the Agmon estimate for Schrödinger operators on connected graphs
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929340754690048 |
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| author | Huang, Yi C. |
| author_facet | Huang, Yi C. |
| contents | We provide in this Letter a two-point generalisation of the Agmon estimate for Schrödinger operators on graphs recently established by S. Steinerberger. It reduces to his estimate when the two points belong to different sets separated by the potential and the energy, i.e., the allowed and forbidden regions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07118 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A two-point generalisation of the Agmon estimate for Schrödinger operators on connected graphs Huang, Yi C. Spectral Theory Primary 31B15. Secondary 35J10, 35R02 We provide in this Letter a two-point generalisation of the Agmon estimate for Schrödinger operators on graphs recently established by S. Steinerberger. It reduces to his estimate when the two points belong to different sets separated by the potential and the energy, i.e., the allowed and forbidden regions. |
| title | A two-point generalisation of the Agmon estimate for Schrödinger operators on connected graphs |
| topic | Spectral Theory Primary 31B15. Secondary 35J10, 35R02 |
| url | https://arxiv.org/abs/2405.07118 |