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

Smail Latreche,Kaddour Guerbati,Rafik Guefaifia,Ibrahim Mekawy,Asma Alharbi,Rashid Jan

Partial Differential Equations in Applied Mathematics（2024）

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摘要

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.

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关键词

Goursat problem,Gevrey space,Formal serie,Denjoy–Carleman space,Mathematical Operator,Partial differential equations

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