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Non‐Self‐Adjoint Differential Operators

Non‐Self‐Adjoint Differential Operators A description is given of methods that have been used to analyze the spectrum of non‐self‐adjoint differential operators, emphasizing the differences from the self‐adjoint theory. It transpires that even in cases in which the eigenfunctions can be determined explicitly, they often do not form a basis; this is closely related to a high degree of instability of the eigenvalues under small perturbations of the operator. 2000 Mathematics Subject Classification 34L05, 35P05, 47A10, 47A12. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Non‐Self‐Adjoint Differential Operators

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References (73)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609302001248
Publisher site
See Article on Publisher Site

Abstract

A description is given of methods that have been used to analyze the spectrum of non‐self‐adjoint differential operators, emphasizing the differences from the self‐adjoint theory. It transpires that even in cases in which the eigenfunctions can be determined explicitly, they often do not form a basis; this is closely related to a high degree of instability of the eigenvalues under small perturbations of the operator. 2000 Mathematics Subject Classification 34L05, 35P05, 47A10, 47A12.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Sep 1, 2002

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