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Recovery of small electromagnetic inhomogeneities from partial boundary measurements. (English. Abridged French version) Zbl 1177.74174

Summary: We consider the inverse problem of identifying locations and certain properties of the shapes of small dielectric inhomogeneities in a homogeneous background medium from boundary measurements on a part of the boundary or dynamic boundary measurements, for a finite time interval. Using as weights particular background solutions, we develop asymptotic methods based on appropriate averaging of the data.

MSC:

74G75 Inverse problems in equilibrium solid mechanics
74F15 Electromagnetic effects in solid mechanics
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