Multi-interval dissipative Sturm-Liouville boundary-value problems with distributional coefficients
Spectral Theory
2020-04-22 v2 Classical Analysis and ODEs
Functional Analysis
Abstract
The paper investigates spectral properties of multi-interval Sturm-Liouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions in terms of boundary conditions are given. Sufficient conditions for the resolvents of these operators to be operators of the trace class and for the systems of root functions to be complete are found. Results of paper are new for one-interval boundary value problems as well.
Cite
@article{arxiv.2004.08575,
title = {Multi-interval dissipative Sturm-Liouville boundary-value problems with distributional coefficients},
author = {Andrii Goriunov},
journal= {arXiv preprint arXiv:2004.08575},
year = {2020}
}
Comments
Corrected reference