2005/04/07 by W. A. Zuniga-Galindo, Zuniga-Galindo, W. A.
Mathematics · Physics and Astronomy · #11S40 #35S99 #47S10 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:11S40 #msc:35S99 #msc:47S10
paper · pdf · doi:10.48550/arxiv.math-ph/0504026
Some additional typos were corrected
arxiv created 2007/04/26 · arxiv updated 2009/12/01
During the eighties several physical models using p-adic numbers were proposed. Particularly various models of p-adic quantum mechanics. As a consequence of this fact several new mathematical problems emerged, among them, the study of p-adic pseudo-differential equations. In this paper we initiate the study of the decay of the solutions of wave-type pseudo-differential equations over p-adic fields; these equations were introduced by Kochubei in connection with the problem of characterizing the p-adic wave functions using pseudo-differential operators. We show that the solutions of p-adic wave-type equations have a decay similar to the solutions of classical generalized wave equations.