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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.03160 |
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| _version_ | 1866910336291962880 |
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| author | Munnier, Alexandre |
| author_facet | Munnier, Alexandre |
| contents | While the single-layer operator for the Laplacian is well understood, questions remain concerning the single-layer operator for the Bilaplacian, particularly with regard to invertibility issues linked with degenerate scales. In this article, we provide simple sufficient conditions ensuring this invertibility for a wide range of problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03160 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Invertibility criteria for the biharmonic single-layer potential Munnier, Alexandre Analysis of PDEs While the single-layer operator for the Laplacian is well understood, questions remain concerning the single-layer operator for the Bilaplacian, particularly with regard to invertibility issues linked with degenerate scales. In this article, we provide simple sufficient conditions ensuring this invertibility for a wide range of problems. |
| title | Invertibility criteria for the biharmonic single-layer potential |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2307.03160 |