Sur l’existence et la stabilité de solutions du problème  de Cauchy dans certains espaces fonctionnels

Boukarou, Aissa

dc.contributor.author	Boukarou, Aissa
dc.date.accessioned	2022-02-02T08:54:01Z
dc.date.available	2022-02-02T08:54:01Z
dc.date.issued	2021
dc.identifier.uri	https://dspace.univ-ghardaia.edu.dz/xmlui/handle/123456789/602
dc.description.abstract	The main objective of this thesis is to study the well-posedness and temporal regularity in Gevrey spaces and anisotropic Gevrey spaces for some partial differential equations. This thesis is divided into two parts: First one is to study the local and global well-posedness for the Kawahara equation and the m-Korteweg-de Vries system with the initial data in analytical Gevrey spaces. In addition, the Gevrey regularity of the solutions in variable time is provided. The second part consists in studying the local well-posedness and the time regularity for the Kadomtsev-Petviashvili I equation and the global well-posedness for the Kadomtsev Petviashvili II equation with initial data in anisotropic Gevrey space	EN_en
dc.publisher	university ghardaia	EN_en
dc.subject	Approximate conservation law, Uniform radius of spatial analyticity, Well-posedness , Gevrey spaces, Bourgain spaces, Time regularity	EN_en
dc.subject	Loi de conservation , l’analyticité , bien posé, les espaces de Gevrey, les espaces de Bourgain, la régularité temporelle	EN_en
dc.subject	قانون الحفظ التقريبي ، نصف القطر الموحد للتحليل المكاني ، مساحات جوفري ، فضاء بورقن ، انتظام الوقت	EN_en
dc.title	Sur l’existence et la stabilité de solutions du problème de Cauchy dans certains espaces fonctionnels	EN_en
dc.type	Thesis	EN_en