Robust nonlocal trace and extension theorems
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909896898772992 |
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| author | Grube, Florian Kassmann, Moritz |
| author_facet | Grube, Florian Kassmann, Moritz |
| contents | We prove trace and extension results for Sobolev-type function spaces that are well suited for nonlocal Dirichlet and Neumann problems including those for the fractional $p$-Laplacian. Our results are robust with respect to the order of differentiability. In this sense they are in align with the classical trace and extension theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_05735 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Robust nonlocal trace and extension theorems Grube, Florian Kassmann, Moritz Analysis of PDEs 46E35, 47G20, 35J25, 45G05, 35J60, 35A15 We prove trace and extension results for Sobolev-type function spaces that are well suited for nonlocal Dirichlet and Neumann problems including those for the fractional $p$-Laplacian. Our results are robust with respect to the order of differentiability. In this sense they are in align with the classical trace and extension theorems. |
| title | Robust nonlocal trace and extension theorems |
| topic | Analysis of PDEs 46E35, 47G20, 35J25, 45G05, 35J60, 35A15 |
| url | https://arxiv.org/abs/2305.05735 |