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NON-SELF-ADJOINT DIFFERENTIAL OPERATORS

Published online by Cambridge University Press:  24 March 2003

E. B. DAVIES
E. B. DAVIES
Affiliation:
Department of Mathematics, King's College, Strand, London WC2R 2LS [email protected]
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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.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 5 , September 2002 , pp. 513 - 532
Copyright
© The London Mathematical Society 2002

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