Decay of solutions of wave-type pseudo-differential equations over p-adic fields

dc.creatorZuniga-Galindo, W. A.
dc.date2005-04-07
dc.date2007-04-26
dc.date.accessioned2026-07-07T07:58:16Z
dc.date.available2026-07-07T07:58:16Z
dc.descriptionDuring 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.
dc.descriptionSome additional typos were corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0504026
dc.identifierhttp://arxiv.org/abs/math-ph/0504026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127944
dc.subjectMathematical Physics
dc.subject35S99; 47S10; 11S40
dc.titleDecay of solutions of wave-type pseudo-differential equations over p-adic fields
dc.typetext

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