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- Title
CALDERÓN PROBLEM FOR MAXWELL'S EQUATIONS IN CYLINDRICAL DOMAIN.
- Authors
IMANUVILOV, OLEG YU.; MASAHIRO YAMAMOTO
- Abstract
We prove some uniqueness results in determination of the conductivity, the permeability and the permittivity of Maxwell's equations in a cylindrical domain Ω X (0, L) from partial boundary map. More specifically, for an arbitrarily given subboundary ⌈0 ⊂ ∂Ω, we prove that the coefficients of Maxwell's equations can be uniquely determined in the subdomain (Ω\ [the convex hull of ⌈0]) X (0, L) by the boundary map only for inputs vanishing on ⌈0 X (0,L).
- Subjects
MAXWELL equations; ELECTROMAGNETIC theory; PARTIAL differential equations; DISPLACEMENT currents (Electric); FINITE integration technique
- Publication
Inverse Problems & Imaging, 2014, Vol 8, Issue 4, p1117
- ISSN
1930-8337
- Publication type
Article
- DOI
10.3934/ipi.2014.8.1117