On the lower bound and upper bound of the Sum of Eigenvalues of the Fractional-Logarithmic Laplacian
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908887587749888 |
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| author | Hajaiej, H. |
| author_facet | Hajaiej, H. |
| contents | We establish a lower bound and an upper bound to the sum of the Fractional-Logarithmic Laplacian. A main challenge in such a study comes from the fact that this operator has a Fourier symbol that is not globally monotone in its radial variable due to its low-frequency behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14250 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the lower bound and upper bound of the Sum of Eigenvalues of the Fractional-Logarithmic Laplacian Hajaiej, H. Analysis of PDEs We establish a lower bound and an upper bound to the sum of the Fractional-Logarithmic Laplacian. A main challenge in such a study comes from the fact that this operator has a Fourier symbol that is not globally monotone in its radial variable due to its low-frequency behavior. |
| title | On the lower bound and upper bound of the Sum of Eigenvalues of the Fractional-Logarithmic Laplacian |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.14250 |