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.
Authors
- Anatoly N. Kochubei (ORCID: https://orcid.org/0000-0002-4284-3079)
- Mariia V. Serdiuk
Institutions
- Institute of Mathematics and Informatics (BG)
- Czech Academy of Sciences, Institute of Mathematics (CZ)
Publication Details
- Journal
- Proceedings of the International Geometry Center
- Published
- 2025-06-02
- DOI
- https://doi.org/10.15673/pigc.v18i1.2849
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Research Foundation of Ukraine
- National Research Foundation