Non-Archimedean Neumann problem: weak and strong solutions
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909757595451392 |
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| author | Antoniouk, Alexandra V. Kochubei, Anatoly N. |
| author_facet | Antoniouk, Alexandra V. Kochubei, Anatoly N. |
| contents | We consider the Neumann problem for the equation with the Vladimirov-Taibleson fractional differentiation operator over a non-Archimedean local field. We study weak solutions following the method by Dipierro, Ros-Oton and Valdinoci (2017). Our investigation of strong solutions is based on the ultrametric identities for the operator under consideration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20548 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Archimedean Neumann problem: weak and strong solutions Antoniouk, Alexandra V. Kochubei, Anatoly N. Analysis of PDEs Number Theory 35S15, 11S80 We consider the Neumann problem for the equation with the Vladimirov-Taibleson fractional differentiation operator over a non-Archimedean local field. We study weak solutions following the method by Dipierro, Ros-Oton and Valdinoci (2017). Our investigation of strong solutions is based on the ultrametric identities for the operator under consideration. |
| title | Non-Archimedean Neumann problem: weak and strong solutions |
| topic | Analysis of PDEs Number Theory 35S15, 11S80 |
| url | https://arxiv.org/abs/2508.20548 |