Spectral Theory and Differential Operators
Series: Oxford Mathematical Monographs;
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Product details:
- Edition number 2
- Publisher OUP Oxford
- Date of Publication 23 May 2018
- ISBN 9780198812050
- Binding Hardback
- No. of pages610 pages
- Size 241x164x34 mm
- Weight 1124 g
- Language English 0
Categories
Short description:
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.
MoreLong description:
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.
The abstract notions are beautifully presented... this is a complex, masterfully written research monograph suitable both for students as well as researchers.
Table of Contents:
Linear operators in Banach spaces
Entropy numbers, s-numbers, and eigenvalues
Unbounded linear operators
Sesqilinear forms in Hilbert spaces
Sobolve spaces
Generalized Dirichlet and Neumann boundary-value problems
Second-order differantial operators on arbitary open sets
Capacity and compactness criteria
Essential spectra
Essential spectra of general second-order differential operators
Global and asymptotic estimates for the eigenvalues
Estimates of the singular values
Bibliography
