The Dirichlet-to-Neumann operator for quantum graphs
Spectral Theory
2017-12-25 v1
Abstract
For a compact, connected metric graphs with a boundary that consists of vertices, we prove that an arbitrary symmetric matrix with real entries can be realized as the Dirichlet-to-Neumann operator for the Laplacian plus a constant.
Cite
@article{arxiv.1712.08223,
title = {The Dirichlet-to-Neumann operator for quantum graphs},
author = {Leonid Friedlander},
journal= {arXiv preprint arXiv:1712.08223},
year = {2017}
}