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Bibliographic Details
Main Authors: Kochubei, Anatoly N., Serdiuk, Mariia V.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.00136
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Table of 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.