Bounds on the negative eigenvalues of Laplacians on finite metric graphs
Spectral Theory
2021-03-29 v2 Mathematical Physics
math.MP
Abstract
For a self--adjoint Laplace operator on a finite, not necessarily compact, metric graph lower and upper bounds on each of the negative eigenvalues are derived. For compact finite metric graphs Poincar\'{e} type inequalities are given.
Keywords
Cite
@article{arxiv.1211.4139,
title = {Bounds on the negative eigenvalues of Laplacians on finite metric graphs},
author = {Amru Hussein},
journal= {arXiv preprint arXiv:1211.4139},
year = {2021}
}
Comments
17 pages