Formally self-adjoint quasi-differential operators and boundary value problems
Functional Analysis
2013-04-25 v3
Abstract
We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval. The technique are then used to describe all maximal dissipative, accumulative and self-adjoint extensions of the associated minimal operator and its generalized resolvents in terms of the boundary conditions. Some specific classes are considered in greater detail.
Cite
@article{arxiv.1205.1810,
title = {Formally self-adjoint quasi-differential operators and boundary value problems},
author = {Andrii Goriunov and Vladimir Mikhailets and Konstantin Pankrashkin},
journal= {arXiv preprint arXiv:1205.1810},
year = {2013}
}
Comments
Extended and revised version. Results concerning regularization by quasi-derivatives of formal differential operators with distributional coefficients were added. 13 pages