Fundamental Solution for a New Class of Non-Archimedean Pseudo-Differential Equations
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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Odesa National University of Technology
2025-06-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | https://journals.ontu.edu.ua/index.php/geometry/article/view/2849 |
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