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Inverse extremum problems for Maxwell’s equations

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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.

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Correspondence to R. V. Brizitskii.

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Original Russian Text © R.V. Brizitskii, A.S. Savenkova, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 6, pp. 1038–1046.

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Brizitskii, R.V., Savenkova, A.S. Inverse extremum problems for Maxwell’s equations. Comput. Math. and Math. Phys. 50, 984–992 (2010). https://doi.org/10.1134/S0965542510060060

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  • DOI: https://doi.org/10.1134/S0965542510060060

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