On the Robin problem for the Laplace equation in multiply connected domains
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912910356250624 |
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| author | Cialdea, Alberto Leonessa, Vita |
| author_facet | Cialdea, Alberto Leonessa, Vita |
| contents | This paper complements the existing theory developed in [5] for the Dirichlet and Neumann problems for the Laplace equation, in multiply connected domains. Within the framework of layer potential methods, we study the Laplace equation under Robin boundary conditions, representing the solutions by means of a double layer potential. We observe that the classical approach searches the solutions in terms of a single layer potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15647 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Robin problem for the Laplace equation in multiply connected domains Cialdea, Alberto Leonessa, Vita Analysis of PDEs This paper complements the existing theory developed in [5] for the Dirichlet and Neumann problems for the Laplace equation, in multiply connected domains. Within the framework of layer potential methods, we study the Laplace equation under Robin boundary conditions, representing the solutions by means of a double layer potential. We observe that the classical approach searches the solutions in terms of a single layer potential. |
| title | On the Robin problem for the Laplace equation in multiply connected domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.15647 |