Electron. J. Diff. Eqns., Vol. 2009(2009), No. 102, pp. 1-12.

The Fuchsian Cauchy problem

Malika Belarbi, Mustapha Mechab

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.

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Malika Belarbi
Laboratoire de Mathématiques
Université Djilali Liabès
B.P. 89, 22000 Sidi Bel Abbès, Algeria
email: mkbelarbi@yahoo.fr
Mustapha Mechab
Laboratoire de Mathématiques
Université Djilali Liabès
B.P. 89, 22000 Sidi Bel Abbès, Algeria
email: mechab@yahoo.com

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