Sturm-Liouville operators with matrix distributional coefficients
Functional Analysis
2016-12-14 v1
Abstract
The paper deals with singular Sturm-Liouville expressions with matrix-valued distributional coefficients. Due to a suitable regularization, the corresponding operators are correctly defined as quasi-differentials. Their resolvent convergence is investigated and all self-adjoint, maximal dissipative, and maximal accumulative extensions are described in terms of homogeneous boundary conditions of the canonical form.
Cite
@article{arxiv.1612.04106,
title = {Sturm-Liouville operators with matrix distributional coefficients},
author = {Alexei Konstantinov and Oleksandr Konstantinov},
journal= {arXiv preprint arXiv:1612.04106},
year = {2016}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:1002.4371 by other authors