2020-01-24T03:25:35Zhttps://repository.dl.itc.u-tokyo.ac.jp/?action=repository_oaipmhoai:repository.dl.itc.u-tokyo.ac.jp:000402182019-12-24T07:27:15Z00312:06865:07007:0701500009:00504:06868:07009:07016
Problème de Cauchy Caractéristique à Solution Entièreenghttp://hdl.handle.net/2261/1194Departmental Bulletin PaperPongerard, PatriceFor 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 Tokyo8189105200113405705AA11021653application/pdf415https://repository.dl.itc.u-tokyo.ac.jp/?action=repository_action_common_download&item_id=40218&item_no=1&attribute_id=19&file_no=1Graduate School of Mathematical Sciences, The University of Tokyo2017-06-14