http://swrc.ontoware.org/ontology#UnrefereedArticle
Problème de Cauchy Caractéristique à Solution Entière
en
Pongerard Patrice
For a Fuchsian differential operator with order $m$ and weight $p\in[0,m]$ in the sense of M. S. Baouendi and C. Goulaouic, we approach the study of the Cauchy problem in entire functions spaces. This article is mainly based on the fixed-point theorem in a Banach space defined by a majorant function with two variables that is suitable to this kind of operator. The proposed method allows one to generalize a H. Yamane theorem and to give the order of the solution ; when $p=m$, we find again the well-known theorems.
Journal of mathematical sciences, the University of Tokyo
8
1
89-105
2001
13405705
AA11021653
application/pdf
415
Graduate School of Mathematical Sciences, The University of Tokyo