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Eigenvalue estimates for the fractional Laplacian on lattice subgraphs

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arxiv 2303.15766 v2 pith:BFSKDPM4 submitted 2023-03-28 math.AP

Jiaxuan Wang This is my paper · ORCID
classification math.AP
keywords fractionallaplaciandirichletestimatesgraphlatticeboundaryclassical
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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 $k$ Dirichlet eigenvalues of the fractional Laplacian, extending the classical results by Li-Yau and Kr\"{o}ger.

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Cited by 5 Pith papers

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