The Fuchsian Cauchy problem

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.

Keywords

• Fuchsian operators
• holomorphic functions