The Cauchy Problem for Non-Archimedean Pseudodifferential Equations of Klein-Gordon Type

2013/02/14 by W. A. Zúñiga‐Galindo, W. A. Zuniga-Galindo, Zuniga-Galindo, W. A.
Mathematics · Physics and Astronomy · #26E30 #35S05 #81P99 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical and Theoretical Analysis #advanced mathematical theories #math-ph #math.MP #msc:26E30 #msc:35S05 #msc:81P99

paper · pdf · doi:10.48550/arxiv.1302.3506

Some typos were corrected. To appear in Journal of Mathematical Analysis and Applications

openalex publication_date 2013/02/14 · arxiv created 2014/06/19 · arxiv updated 2014/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we introduce a new class of non-Archimedean pseudodifferential equations of Klein-Gordon type and study the corresponding Cauchy problem for these equations. A remarkable fact is that the non-Archimedean Klein-Gordon equations exhibit many similar properties to the classical Klein-Gordon equations.

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