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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2303.15766 |
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| _version_ | 1866910553136431104 |
|---|---|
| author | Wang, Jiaxuan |
| author_facet | Wang, Jiaxuan |
| contents | 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 Kröger. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_15766 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Eigenvalue estimates for the fractional Laplacian on lattice subgraphs Wang, Jiaxuan Analysis of PDEs 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 Kröger. |
| title | Eigenvalue estimates for the fractional Laplacian on lattice subgraphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2303.15766 |