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Inverse problems of recovering external sources in the equation of longitudinal wave propagation

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Abstract

The inverse problems are considered for the equation of longitudinal wave propagation under the overdetermination conditions of the final and integral types. The main purpose of the study is to prove the existence of regular solutions of inverse problems of recovering the unknown external sources in addition to the solution. One of the suggested approaches bases on reducing the inverse problem to an integrodifferential equation.

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Authors and Affiliations

  1. East-Siberian University of Technologies and Control, ul. Klyuchevskaya 40-v, Ulan-Ude, 670023, Russia

    G. V. Namsaraeva

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  1. G. V. Namsaraeva
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Correspondence to G. V. Namsaraeva.

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Original Russian Text © G.V. Namsaraeva, 2016, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2016, Vol. XIX, No. 3, pp. 28–40.

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Namsaraeva, G.V. Inverse problems of recovering external sources in the equation of longitudinal wave propagation. J. Appl. Ind. Math. 10, 386–396 (2016). https://doi.org/10.1134/S1990478916030091

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  • DOI: https://doi.org/10.1134/S1990478916030091

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