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- Publisher
- Oxford University Press
- Copyright
- © London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/S0024609302001248
- Publisher site
- See Article on Publisher Site
Abstract
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. © London Mathematical Society
Journal
Bulletin of the London Mathematical Society – Oxford University Press
Published: Sep 1, 2002