Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 102, pp. 1-12.

Title: The Fuchsian Cauchy problem

Authors: Malika Belarbi  (Univ. Djilali Liabes, Algeria)
         Mustapha Mechab (Univ. Djilali Liabes, Algeria)

Abstract:
 This article presents a global version of the main theorem by
 Baouendi and  Goulaouic \cite{bago}, in the space of  differentiable
 functions with respect to Fuchsian variable,  and  holomorphic
 with respect to other variables. We have no assumptions
 on the characteristic exponents, and no hyperbolicity conditions.
 
Submitted July 23, 2009. Published August 21, 2009.
Math Subject Classifications: 32W50.
Key Words: Fuchsian operators; holomorphic functions.