Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion
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| Format: | Preprint |
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2024
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| _version_ | 1866910770016550912 |
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| author | Cowan, Craig Smaily, Mohammad El Feulefack, Pierre Aime |
| author_facet | Cowan, Craig Smaily, Mohammad El Feulefack, Pierre Aime |
| contents | In this paper, we consider an elliptic problem driven by a mixed local-nonlocal operator with drift and subject to nonlocal Neumann condition. We prove the existence and uniqueness of a solution $u\in W^{2,p}(Ω)$ of the considered problem with $L^p$-source function when $p$ and $s$ are in a certain range. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19572 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion Cowan, Craig Smaily, Mohammad El Feulefack, Pierre Aime Analysis of PDEs Mathematical Physics Functional Analysis 35A09, 35B50, 35B65, 35R11, 35J67, 47A75 In this paper, we consider an elliptic problem driven by a mixed local-nonlocal operator with drift and subject to nonlocal Neumann condition. We prove the existence and uniqueness of a solution $u\in W^{2,p}(Ω)$ of the considered problem with $L^p$-source function when $p$ and $s$ are in a certain range. |
| title | Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion |
| topic | Analysis of PDEs Mathematical Physics Functional Analysis 35A09, 35B50, 35B65, 35R11, 35J67, 47A75 |
| url | https://arxiv.org/abs/2406.19572 |