Green function to the biharmonic equation on $n$-dimensional sphere
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911038904991744 |
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| author | Iglewska-Nowak, Ilona |
| author_facet | Iglewska-Nowak, Ilona |
| contents | Homogeneous and inhomogeneous biharmonic equation are considered on the $n$-dimensional unit sphere. The Green function is given as a series of Gegenbauer polynomials. In the paper, explicit representations of the Green function are found for some sets of parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03455 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Green function to the biharmonic equation on $n$-dimensional sphere Iglewska-Nowak, Ilona Analysis of PDEs Homogeneous and inhomogeneous biharmonic equation are considered on the $n$-dimensional unit sphere. The Green function is given as a series of Gegenbauer polynomials. In the paper, explicit representations of the Green function are found for some sets of parameters. |
| title | Green function to the biharmonic equation on $n$-dimensional sphere |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.03455 |