A Non-Archimedean Wave Equation
| dc.creator | Kochubei, Anatoly N. | |
| dc.date | 2007-07-18 | |
| dc.date | 2007-12-06 | |
| dc.date.accessioned | 2026-07-07T08:47:21Z | |
| dc.date.available | 2026-07-07T08:47:21Z | |
| dc.description | Let K be a non-Archimedean local field with the normalized absolute value $|\cdot |$. It is shown that a ``plane wave'' $f(t+ω_1 x_1+... +ω_nx_n)$, where f is a Bruhat-Schwartz complex-valued test function on K, $(t,x_1,..., x_n)\in K^{n+1}$, $\max\limits_{1\le j\le n}|ω_j|=1$, satisfies, for any f, a certain homogeneous pseudo-differential equation, an analog of the classical wave equation. A theory of the Cauchy problem for this equation is developed. | |
| dc.description | 17 pages; the final version, to appear in Pacif. J. Math | |
| dc.identifier | https://arxiv.org/abs/0707.2653 | |
| dc.identifier | http://arxiv.org/abs/0707.2653 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143567 | |
| dc.subject | Number Theory | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 11S80; 35S10; 35L99 | |
| dc.title | A Non-Archimedean Wave Equation | |
| dc.type | text |