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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 6, Pages 1347–1364 (Mi smj1145)  
This article is cited in 2 scientific papers (total in 2 papers)

A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations

V. G. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (253 kB) Citations (2)
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Abstract: We consider the problem of determining dielectric permittivity and conductivity in the Maxwell equations. As additional information we prescribe the traces of the tangential components of the electromagnetic field on the lateral surface of a cylindric domain. We establish a stability estimate for a solution to the inverse problem and a uniqueness theorem.
Keywords: inverse problem, equations of electrodynamics, stability, uniqueness.
Received: 20.09.2004
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 6, Pages 1098–1112
DOI: https://doi.org/10.1023/B:SIMJ.0000048926.66814.81
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: V. G. Romanov, “A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations”, Sibirsk. Mat. Zh., 45:6 (2004), 1347–1364; Siberian Math. J., 45:6 (2004), 1098–1112
Citation in format AMSBIB
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\paper A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations
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\vol 45
\issue 6
\pages 1347--1364
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\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 6
\pages 1098--1112
\crossref{https://doi.org/10.1023/B:SIMJ.0000048926.66814.81}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000225820500013}
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  • https://www.mathnet.ru/eng/smj/v45/i6/p1347
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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