Decay of solutions of wave-type pseudo-differential equations over p-adic fields
| dc.creator | Zuniga-Galindo, W. A. | |
| dc.date | 2005-04-07 | |
| dc.date | 2007-04-26 | |
| dc.date.accessioned | 2026-07-07T07:58:16Z | |
| dc.date.available | 2026-07-07T07:58:16Z | |
| dc.description | 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. | |
| dc.description | Some additional typos were corrected | |
| dc.identifier | https://arxiv.org/abs/math-ph/0504026 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0504026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127944 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35S99; 47S10; 11S40 | |
| dc.title | Decay of solutions of wave-type pseudo-differential equations over p-adic fields | |
| dc.type | text |