Linear Differential Equations and Function Spaces

This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs).

This book offers on the one hand a complete theory of Sobolev spaces, which are of fundamental importance for elliptic linear and non-linear differential equations, and explains on the other hand how the abstract methods of convex analysis ...

This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces.

The book covers in detail these subjects as well as the applications to each specific problem.

This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs).

Numerous examples throughout the text clarify methods, and a substantial number of exercises provide reinforcement. Detailed solutions to all of the exercises make this book ideal for self-study.