Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs
Bobo Hua
Fudan University, Shanghai, ChinaYan Huang
Fudan University, Shanghai, ChinaZuoqin Wang
University of Science and Technology of China, Hefei, China
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Abstract
In this paper, we study the Dirichlet-to-Neumann operators on infinite subgraphs of graphs. For an infinite subgraph, we prove Cheeger-type estimates for the bottom spectrum of the Dirichlet-to-Neumann operator, and the higher order Cheeger estimates for higher order eigenvalues of the Dirichlet-to-Neumann operator.
Cite this article
Bobo Hua, Yan Huang, Zuoqin Wang, Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs. J. Spectr. Theory 12 (2022), no. 3, pp. 1079–1108
DOI 10.4171/JST/427