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Supplement to the Classical Result of A.N. Tikhonov on Electromagnetic Sensing for a Medium with Thin Layers

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Abstract

Tikhonov’s result uses values of a function on an interval; i.e., restoring the medium requires infinitely many values of the function. In this paper, the question is posed: what information about the environment can be obtained if only several values of this function are known? The answer turned out to be most favorable. If the data array contains k function values, then the environment can be characterized by the same number of parameters.

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Institute”, 111250, Moscow, Russia

    A. S. Barashkov

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  1. A. S. Barashkov
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Correspondence to A. S. Barashkov.

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Translated by A. Klimontovich

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Barashkov, A.S. Supplement to the Classical Result of A.N. Tikhonov on Electromagnetic Sensing for a Medium with Thin Layers. Comput. Math. and Math. Phys. 63, 1681–1684 (2023). https://doi.org/10.1134/S0965542523090038

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  • DOI: https://doi.org/10.1134/S0965542523090038

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