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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 1, Pages 3–16 (Mi sjim646)  
This article is cited in 13 scientific papers (total in 13 papers)

Theoretical analysis of boundary control extremal problems for Maxwell's equations

G. V. Alekseev, R. V. Brizitskii

Institute of Applied Mathematics FEB RAS, Vladivostok, RUSSIA
Full-text PDF (304 kB) Citations (13)
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Abstract: Under study are the extremal problems of multiplicative boundary control for timeharmonic Maxwell's equations considered with the impedance boundary condition for the electric field. The solvability of the original extremal problem is proved. Some sufficient conditions are derived on the original data which guarantee the stability of solutions to concrete extremal problems with respect to certain perturbations of both the quality functional and one of the known functions that has the meaning of the density of the electric current.
Keywords: Maxwell's equations, impedance, boundary control, solvability, stability estimates.
Received: 07.04.2010
Revised: 22.11.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 4, Pages 478–490
DOI: https://doi.org/10.1134/S1990478911040028
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. V. Alekseev, R. V. Brizitskii, “Theoretical analysis of boundary control extremal problems for Maxwell's equations”, Sib. Zh. Ind. Mat., 14:1 (2011), 3–16; J. Appl. Industr. Math., 5:4 (2011), 478–490
Citation in format AMSBIB
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\by G.~V.~Alekseev, R.~V.~Brizitskii
\paper Theoretical analysis of boundary control extremal problems for Maxwell's equations
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 1
\pages 3--16
\mathnet{http://mi.mathnet.ru/sjim646}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2951439}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 4
\pages 478--490
\crossref{https://doi.org/10.1134/S1990478911040028}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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