Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy?Carleman

The problem of existence and uniqueness of nonlinear Goursat is studied by Claude Wagschal in different spaces: holomorphic spaces, partially holomorphic, continuous-Gevrey and Gevrey-holomorphic. In this paper, we replace the sequence (n!)d?1 in the case Gevery with suitable sequence (Mn) in the ca...

Full description

Saved in:
Bibliographic Details
Main Authors: Latreche S., Guerbati K., Guefaifia R., Mekawy I., Alharbi A., Jan R.
Other Authors: 58976289100
Format: Article
Published: Elsevier B.V. 2025
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Universiti Tenaga Nasional
Description
Summary:The problem of existence and uniqueness of nonlinear Goursat is studied by Claude Wagschal in different spaces: holomorphic spaces, partially holomorphic, continuous-Gevrey and Gevrey-holomorphic. In this paper, we replace the sequence (n!)d?1 in the case Gevery with suitable sequence (Mn) in the case Carleman. After that, we study the problem of existence and uniqueness of nonlinear Goursat problem in Denjoy?Carleman space. ? 2024 The Author(s)