## B: Pseudospectra of differential operators (2000)

by
E. B. Davies

Venue: | J. Oper. Theory |

Citations: | 27 - 7 self |

### BibTeX

@ARTICLE{Davies00b:pseudospectra,

author = {E. B. Davies},

title = {B: Pseudospectra of differential operators},

journal = {J. Oper. Theory},

year = {2000},

pages = {243--262}

}

### Years of Citing Articles

### OpenURL

### Abstract

We describe methods which have been used to analyze the spectrum of non-self-adjoint differential operators, emphasizing the differences from the self-adjoint theory. We find 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. AMS subject classifications:34L05, 35P05, 47A10, 47A12