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arXiv · 2303.15766

Eigenvalue estimates for the fractional Laplacian on lattice subgraphs

Jiaxuan Wang
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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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Jiaxuan Wang. 2023-03-28. Eigenvalue estimates for the fractional Laplacian on lattice subgraphs. https://arxiv.org/abs/2303.15766

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