Some nonlocal formulas inspired by an identity of James Simon
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916869577900032 |
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| author | Dipierro, Serena Thompson, Jack Valdinoci, Enrico |
| author_facet | Dipierro, Serena Thompson, Jack Valdinoci, Enrico |
| contents | Inspired by a classical identity proved by James Simons, we establish a new geometric formula in a nonlocal, possibly fractional, setting.
Our formula also recovers the classical case in the limit, thus providing an approach to Simons' work that does not heavily rely on differential geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_15179 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some nonlocal formulas inspired by an identity of James Simon Dipierro, Serena Thompson, Jack Valdinoci, Enrico Analysis of PDEs Inspired by a classical identity proved by James Simons, we establish a new geometric formula in a nonlocal, possibly fractional, setting. Our formula also recovers the classical case in the limit, thus providing an approach to Simons' work that does not heavily rely on differential geometry. |
| title | Some nonlocal formulas inspired by an identity of James Simon |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2306.15179 |