Pseudo-differential Operators with Semi-Quasielliptic Symbols Over p-adic Fields
Functional Analysis
2011-08-01 v2
Abstract
In this article, we study pseudo-differential equations involving semi-quasielliptic symbols over p-adics. We determine the function spaces where such equations have solutions. We introduce the space of infinitely pseudo-differentiable functions with respect to a semi-quasielliptic operator. By using these spaces we show the existence of a regularization effect for certain parabolic equations over p-adics.
Keywords
Cite
@article{arxiv.1103.4331,
title = {Pseudo-differential Operators with Semi-Quasielliptic Symbols Over p-adic Fields},
author = {J. Galeano-Penaloza and W. A. Zuniga-Galindo},
journal= {arXiv preprint arXiv:1103.4331},
year = {2011}
}
Comments
Accepted in Journal of Mathemaatical Analysis and its Applications