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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 6, Pages 1038–1046
(Mi zvmmf4889)
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This article is cited in 12 scientific papers (total in 12 papers)
Inverse extremal problems for the Maxwell equations
R. V. Brizitskiĭ, A. S. Savenkova Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivistok, 690041 Russia
Abstract:
The problem is studied of recovering the impedance function involved multiplicatively in boundary conditions for Maxwell’s equations. The inverse problem is reduced to an extremum one. The solvability of the extremum problem is proved, an optimality system is derived, and sufficient conditions for the local uniqueness and stability of its solution are established.
Key words:
Maxwell’s equations, inverse problem of impedance recovery, optimal control problem, uniqueness, stability.
Received: 24.04.2009
Citation:
R. V. Brizitskiǐ, A. S. Savenkova, “Inverse extremal problems for the Maxwell equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010), 1038–1046; Comput. Math. Math. Phys., 50:6 (2010), 984–992
Linking options:
https://www.mathnet.ru/eng/zvmmf4889 https://www.mathnet.ru/eng/zvmmf/v50/i6/p1038
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Abstract page: | 414 | Full-text PDF : | 125 | References: | 77 | First page: | 9 |
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