Singularities of solutions to partial differential equations in a complex domain

We give an explicit representation of the solution of the following singular Cauchy problem with analytic data, $$ u_{tt}-xu_{xx}+Cu_{x}-B(t^2-4x)^{-1}u=0. $$ We also study the singularities of this solution.

Bibliographic Details
Main Author: Naouel Bentiba
Format: Article
Language:English
Published: Texas State University 2016-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/165/abstr.html