An inverse boundary value problem for the Maxwell's equations with partial data
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913852023635968 |
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| author | Zhai, Jian |
| author_facet | Zhai, Jian |
| contents | We consider an inverse boundary problem for the dynamical Maxwell's equations. We show that the electric permittivity, conductivity, and magnetic permeability can be uniquely determined locally if there is a strictly convex foliation with respect to the wave speed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16250 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An inverse boundary value problem for the Maxwell's equations with partial data Zhai, Jian Analysis of PDEs We consider an inverse boundary problem for the dynamical Maxwell's equations. We show that the electric permittivity, conductivity, and magnetic permeability can be uniquely determined locally if there is a strictly convex foliation with respect to the wave speed. |
| title | An inverse boundary value problem for the Maxwell's equations with partial data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.16250 |