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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2409.00136 |
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| _version_ | 1866929481401237504 |
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| author | Kochubei, Anatoly N. Serdiuk, Mariia V. |
| author_facet | Kochubei, Anatoly N. Serdiuk, Mariia V. |
| contents | In this paper we study a new class of pseudo-differential equations on functions of two $p$-adic variables. It is proved that the correspondent Cauchy problem has a unique solution. Some properties of this solution are studied, in particular, the finite dependence property and an $L^1$-estimate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00136 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fundamental Solution for a New Class of Non-Archimedean Pseudo-Differential Equations Kochubei, Anatoly N. Serdiuk, Mariia V. Analysis of PDEs In this paper we study a new class of pseudo-differential equations on functions of two $p$-adic variables. It is proved that the correspondent Cauchy problem has a unique solution. Some properties of this solution are studied, in particular, the finite dependence property and an $L^1$-estimate. |
| title | Fundamental Solution for a New Class of Non-Archimedean Pseudo-Differential Equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2409.00136 |