Singularities of a characteristic Cauchy problem for a PDE with singular coefficients
Analysis of PDEs
2019-09-27 v1
Abstract
In this paper we give an explicit representation of the solutions of a characteristic Cauchy problem for a class of PDEs with singular coefficients. We give the explicit solutions in terms of the Gauss hypergeometric functions, which enable us to study the singularities and the analytic continuation. Our results are illustrated through some examples.
Keywords
Cite
@article{arxiv.1909.11709,
title = {Singularities of a characteristic Cauchy problem for a PDE with singular coefficients},
author = {Mohamed Amine Kerker},
journal= {arXiv preprint arXiv:1909.11709},
year = {2019}
}