Higher order Dirichlet-to-Neumann maps on graphs and their eigenvalues
Differential Geometry
2019-04-16 v3
Abstract
In this paper, we first introduce higher order Dirichlet-to-Neumann maps on graphs which can be viewed as a discrete analogue of the corresponding Dirichlet-to-Neumann maps on compact Riemannian manifolds with boundary and a higher order generalization of the Dirichlet-to-Neumann map on graphs introduced by Hua-Huang-Wang\cite{HHW} and Hassannezhad-Miclo \cite{HM}. Then, some Raulot-Savo-type estimates on the eigenvalues of the DtN maps introduced are derived.
Cite
@article{arxiv.1904.03880,
title = {Higher order Dirichlet-to-Neumann maps on graphs and their eigenvalues},
author = {Yongjie Shi and Chengjie Yu},
journal= {arXiv preprint arXiv:1904.03880},
year = {2019}
}
Comments
Some typos corrected and some details in computation added