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August 29, 2024Open Access

Fundamental Solution for a New Class of Non-Archimedean Pseudo-Differential Equations

Anatoly N. Kochubei Mariia V. Serdiuk

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Abstract

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 L¹-estimate.

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Cite This Study

Kochubei et al. (2024) studied this question.

synapsesocial.com/papers/68e5a818b6db6435875424ce https://doi.org/10.48550/arxiv.2409.00136

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