Decay of solutions of wave-type pseudo-differential equations over p-adic fields
Zuniga-Galindo, W. A.
arXiv, 0504026 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-04-07
Classification:  Mathematical Physics,  35S99,  47S10,  11S40 
@article{0504026,
     author = {Zuniga-Galindo, W. A.},
     title = {Decay of solutions of wave-type pseudo-differential equations over
  p-adic fields},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504026}
}

Zuniga-Galindo, W. A. Decay of solutions of wave-type pseudo-differential equations over
  p-adic fields. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504026/