Basisness of Fucik eigenfunctions for the Dirichlet Laplacian
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866911509755461632 |
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| author | Baustian, Falko Bobkov, Vladimir |
| author_facet | Baustian, Falko Bobkov, Vladimir |
| contents | We provide improved sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Dirichlet Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,π)$. For that purpose, we introduce a criterion for a sequence in a Hilbert space to be a Riesz basis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_08329 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Basisness of Fucik eigenfunctions for the Dirichlet Laplacian Baustian, Falko Bobkov, Vladimir Classical Analysis and ODEs Analysis of PDEs Spectral Theory 34L10, 34B25, 34B08, 47A70 We provide improved sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Dirichlet Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,π)$. For that purpose, we introduce a criterion for a sequence in a Hilbert space to be a Riesz basis. |
| title | Basisness of Fucik eigenfunctions for the Dirichlet Laplacian |
| topic | Classical Analysis and ODEs Analysis of PDEs Spectral Theory 34L10, 34B25, 34B08, 47A70 |
| url | https://arxiv.org/abs/2111.08329 |