Espaces de Sobolev et Applications

Abstract

This thesis is dedicated to the study of Sobolev spaces and their applications. We have seen the most important concepts, such as the definitions and functional properties of Sobolev spaces, including completeness, density, injection, trace spaces, and more. This thesis aims to provide a clear understanding of these Sobolev spaces, their functional properties, and their application to the resolution of Partial Differential Equations.