Always detectable eigenfunctions on metric graphs
Spectral Theory
2022-01-19 v1 Mathematical Physics
math.MP
Abstract
It is proven following [18[ that Laplacians with standard vertex continuous on metric trees and with standard and Dirichlet conditions on arbitrary metric graphs possess an infinite sequence of simple eigenvalues with the eigenfunctions not equal to zero in any non-Dirichlet vertex.
Cite
@article{arxiv.2112.04233,
title = {Always detectable eigenfunctions on metric graphs},
author = {Pavel Kurasov},
journal= {arXiv preprint arXiv:2112.04233},
year = {2022}
}
Comments
6 pages