Probl\`eme de Cauchy avec des conditions modifi\'ees pour les \'equations d'Euler-Poisson-Darboux
Mathematical Physics
2011-09-16 v1 math.MP
Abstract
Nowadays the Euler-Poisson-Darboux equation is extensively studied in several settings. The main questions on avery spaces are explicit solutions for the classical Cauchy problems with the second data null. In this note we will generalize and unify several results on Euler-Poisson-Darboux equation. In this note we consider the Cauchy problem with modified conditions for the Euler-Poisson-Darboux equation. We give the explicit solutions in terms of Gauss 2F1 and Appel F4 hypergeometric functions with applications to the classical and radial wave equations
Keywords
Cite
@article{arxiv.1109.3215,
title = {Probl\`eme de Cauchy avec des conditions modifi\'ees pour les \'equations d'Euler-Poisson-Darboux},
author = {Cheikh Ould Mohamed El-hafed and Mohamed Vall Ould Moustapha},
journal= {arXiv preprint arXiv:1109.3215},
year = {2011}
}