Elliptic Partial Differential Equations Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains /

• Main Author: Volpert, Vitaly (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2011.
• Series: Monographs in Mathematics ; 101
• Subjects: Mathematics.; Partial differential equations.; Partial Differential Equations.

<p>The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. Th...

Table of Contents:

• Chapter 1. Introduction
• Chapter 2. Function spaces and operators
• Chapter 3. A priori estimates
• Chapter 4. Normal solvability
• Chapter 5. Fredholm property
• Chapter 6. Formally adjoint problems
• Chapter 7. Elliptic problems with a parameter
• Chapter 8. Index of elliptic operators
• Chapter 9. Problems in cylinders
• Chapter 10. Non-Fredholm operators
• Chapter 11. Nonlinear Fredholm operators
• Supplement. Discrete operators.-Historical and bibliographical comments
• Acknowledgements
• References.