On a \(p\)-adic wave equation
type: Item
instance of: scholarly article
title: On a \(p\)-adic wave equation
zbMATH Open document ID: 1191.47090
DOI: 10.1134/S0081543809020138
author: Anatoly N. Kochubei
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2010-01-12T00:00:00Z
review text: The author considers a \(p\)-adic analogue of plane waves, and presents a corresponding ``\(p\)-adic wave equation''. An overview of some properties of such \(p\)-adic wave equation is given (without including the proofs of the results). For the proofs of the theorems and further details, the reader is referred to [\textit{A.\,N.\thinspace Kochubei}, Pac.\ J.\ Math.\ 235, No.\,2, 245--261 (2008; Zbl 1190.35235)].
reviewed by: L. P. Castro
Mathematics Subject Classification ID: 47S10
Mathematics Subject Classification ID: 35S10
Mathematics Subject Classification ID: 11S80
Mathematics Subject Classification ID: 35S05
zbMATH DE Number: 5655885
zbMATH Keywords: plane wave
zbMATH Keywords: wave equation
zbMATH Keywords: p-adic
zbMATH Keywords: pseudodifferential equation
zbMATH Keywords: Cauchy problem
MaRDI profile type: Publication
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full work available at URL: s0081543809020138
OpenAlex ID: W2010957099
description: scientific article; zbMATH DE number 5655885