Eigenvalue estimates for the fractional Laplacian on lattice subgraphs
Analysis of PDEs
2024-08-06 v2
Abstract
We introduce the the fractional Laplacian on a subgraph of a graph with Dirichlet boundary condition. For a lattice graph, we prove the upper and lower estimates for the sum of the first Dirichlet eigenvalues of the fractional Laplacian, extending the classical results by Li-Yau and Kr\"{o}ger.
Keywords
Cite
@article{arxiv.2303.15766,
title = {Eigenvalue estimates for the fractional Laplacian on lattice subgraphs},
author = {Jiaxuan Wang},
journal= {arXiv preprint arXiv:2303.15766},
year = {2024}
}