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 basi...
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| Veröffentlicht in: | The Bulletin of the London Mathematical Society 2002-09, Vol.34 (5), p.513-532 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 0024-6093 1469-2120 |
| DOI: | 10.1112/S0024609302001248 |