Spectral Theory and Differential Operators 2nd Edition

Spectral Theory and Differential Operators 2nd Edition  – Ebook Instant Download/Delivery ISBN(s): 9780198812050,0198812051,9780192540102, 0192540106

Product details:

• ISBN-10: 0192540106
• ISBN-13: 9780192540102
• Author: David Edmunds, Des Evans

This book is an updated version of the classic 1987 monograph “Spectral Theory and Differential Operators”.The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics. This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.

Table contents:

1. Linear Operators in Banach Spaces

2. Entropy Numbers, s-Numbers, and Eigenvalues

3. Unbounded Linear Operators

4. Symmetric and Self-Adjoint Operators

5. Sobolev Spaces

6. Generalized Dirichlet and Neumann Boundary-Value Problems

7. Second-Order Differential Operators on Arbitrary Open Sets

8. Capacity and Compactness Criteria

9. Essential Spectra

10. Essential Spectra of General Second-Order Differential Operators

11. Global and Asymptotic Estimates for the Eigenvalues of −Δ + q when q Is Real

12. Estimates for the Singular Values of −Δ + q when q is Complex

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