Abstract
We consider the problem of determining the dielectric permittivity for a nonconducting and nonmagnetic medium. As information we take the traces of the tangential components of the electromagnetic field on the lateral surface of a cylindrical domain. These traces correspond to a solution to some direct problem for the Maxwell system. The impulse source of the current flux lies outside the domain in which the coefficient is sought. The main result of the article is a stability estimate for a solution to the inverse problem in question.
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Romanov, V.G. A Stability Estimate for a Solution of the Problem of Determining the Dielectric Permittivity. Siberian Mathematical Journal 45, 730–739 (2004). https://doi.org/10.1023/B:SIMJ.0000035836.35054.bb
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DOI: https://doi.org/10.1023/B:SIMJ.0000035836.35054.bb