Spectral Theory and Differential Operators (2nd edition)

ISBN : 9780198812050

David Edmunds; Des Evans
624 Pages
156 x 234 mm
Pub date
May 2018
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This book is an updated version of the classic monograph Spectral Theory and Differential Operators, published by OUP in 1987. 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. 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.


1 Linear operators in Banach spaces
2 Entropy numbers, s-numbers, and eigenvalues
3 Unbounded linear operators
4 Sesqilinear forms in Hilbert spaces
5 Sobolve spaces
6 Generalized Dirichlet and Neumann boundary-value problems
7 Second-order differantial operators on arbitary 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
12 Estimates of the singular values

About the author: 

Professor David Edmunds is Emeritus Professor of the Mathematics, Analysis and Partial Differential Equations Research Group at University of Sussex. His main research interests are functional analysis, interpolation theory, the theory of function spaces, sharp estimates of s-numbers and entropy numbers of embeddings and classical operators, and elliptic partial differential equations. He was awarded the LMS Polya prize in 1996, the Czech Academy of Sciences Bolzano prize in 1998, and was elected to a fellowship of the Learned Society of Wales in 2012.; Professor Des Evans of Emeritus Professor of Mathematics at Cardiff University. His main research interests are in the spectral theory associated with differential equations and related areas of analysis and quantum mechanics. I was elected to a Fellowship of the Learned Society of Wales in 2010.

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