On a nonclassical boundary balue problem for the Laplace equation in a cracked domain
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917145523257344 |
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| author | Krasnoshchok, Mykola |
| author_facet | Krasnoshchok, Mykola |
| contents | We consider the Laplace equation in a cracked plane with a nonclassical boundary conditions. This problem arises as a model of the flow in the fractured media. The main result is the theorem of existence and uniqueness of a solution in weighted Sobolev spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10171 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a nonclassical boundary balue problem for the Laplace equation in a cracked domain Krasnoshchok, Mykola Analysis of PDEs 36B65, 35J27 We consider the Laplace equation in a cracked plane with a nonclassical boundary conditions. This problem arises as a model of the flow in the fractured media. The main result is the theorem of existence and uniqueness of a solution in weighted Sobolev spaces. |
| title | On a nonclassical boundary balue problem for the Laplace equation in a cracked domain |
| topic | Analysis of PDEs 36B65, 35J27 |
| url | https://arxiv.org/abs/2412.10171 |