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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.11568 |
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| _version_ | 1866910280435367936 |
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| author | Isozaki, Hiroshi Poisson, Olivier |
| author_facet | Isozaki, Hiroshi Poisson, Olivier |
| contents | We study the Rellich type theorem (RT) for the Maxwell operator __ D = D____0 on Z3 in a constant anisotropic medium, i.e., the permittivity and permeability of which are constant non-scalar diagonal matrices. We also prove the unique continuation property (UCP) in the exterior of a compact convex set Kint $\subset$ Z3 for the perturbed Maxwell operator __ Dp = D__p __0 on Z3 for which the permittivity and permeability are locally perturbed from a constant matrix on a compact subset in Kint . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11568 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rellich type theorem and unique continuation property for discrete Maxwell operators Isozaki, Hiroshi Poisson, Olivier Analysis of PDEs We study the Rellich type theorem (RT) for the Maxwell operator __ D = D____0 on Z3 in a constant anisotropic medium, i.e., the permittivity and permeability of which are constant non-scalar diagonal matrices. We also prove the unique continuation property (UCP) in the exterior of a compact convex set Kint $\subset$ Z3 for the perturbed Maxwell operator __ Dp = D__p __0 on Z3 for which the permittivity and permeability are locally perturbed from a constant matrix on a compact subset in Kint . |
| title | Rellich type theorem and unique continuation property for discrete Maxwell operators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.11568 |