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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 4, Pages 881–891
(Mi smj1112)
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This article is cited in 2 scientific papers (total in 2 papers)
A stability estimate for a solution of the problem of determining the dielectric permittivity
V. G. Romanov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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.
Keywords:
inverse problem, Maxwell equations, stability, uniqueness.
Received: 12.05.2004
Citation:
V. G. Romanov, “A stability estimate for a solution of the problem of determining the dielectric permittivity”, Sibirsk. Mat. Zh., 45:4 (2004), 881–891; Siberian Math. J., 45:4 (2004), 730–739
Linking options:
https://www.mathnet.ru/eng/smj1112 https://www.mathnet.ru/eng/smj/v45/i4/p881
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