## Non-self-adjoint differential operators (2002)

by
E. B. Davies

Citations: | 25 - 6 self |

### BibTeX

@MISC{Davies02non-self-adjointdifferential,

author = {E. B. Davies},

title = { Non-self-adjoint differential operators},

year = {2002}

}

### 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.