The Cauchy Problem for Non-Archimedean Pseudodifferential Equations of Klein-Gordon Type
arXiv:1302.3506
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.
Some typos were corrected. To appear in Journal of Mathematical Analysis and Applications