Calculus of variations on hypergraphs
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917625677742080 |
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| author | Shao, Mengqiu Tian, Yulu Zhao, Liang |
| author_facet | Shao, Mengqiu Tian, Yulu Zhao, Liang |
| contents | We have established a coherent framework for applying variational methods to partial differential equations on hypergraphs, which includes the propositions of calculus and function spaces on hypergraphs. Several results related to the maximum principle on hypergraphs have also been proven. As applications, we demonstrated how these can be used to study partial differential equations on hypergraphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12394 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Calculus of variations on hypergraphs Shao, Mengqiu Tian, Yulu Zhao, Liang Analysis of PDEs Combinatorics 05C65, 35A15 We have established a coherent framework for applying variational methods to partial differential equations on hypergraphs, which includes the propositions of calculus and function spaces on hypergraphs. Several results related to the maximum principle on hypergraphs have also been proven. As applications, we demonstrated how these can be used to study partial differential equations on hypergraphs. |
| title | Calculus of variations on hypergraphs |
| topic | Analysis of PDEs Combinatorics 05C65, 35A15 |
| url | https://arxiv.org/abs/2403.12394 |