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Spectral Theory and Differential Operators | Oxford Scholarship Online
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Spectral Theory and Differential Operators

David Edmunds and Des Evans

Abstract

This book gives an account of those parts of the analysis of closed linear operators acting in Banach or Hilbert spaces that are relevant to spectral problems involving differential operators, and makes applications to such questions. After the exposition of the abstract theory in the first four chapters, Sobolev spaces are introduced and their main properties established. The remaining seven chapters are largely concerned with second-order elliptic differential operators and related boundary-value problems. Particular attention is paid to the spectrum of the Schrödinger operator. Its original ... More

Keywords: closed linear operator, Banach space, Hilbert space, elliptic differential operator, spectrum, Sobolev space

Bibliographic Information

Print publication date: 2018 Print ISBN-13: 9780198812050
Published to Oxford Scholarship Online: September 2018 DOI:10.1093/oso/9780198812050.001.0001

Authors

Affiliations are at time of print publication.

David Edmunds, author
Emeritus Professor (Mathematics, Analysis and Partial Differential Equations Research Group), University of Sussex

Des Evans, author
Emeritus Professor of Mathematics, Cardiff University