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The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain

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Abstract

In this paper with the help of the spectral method we obtain a criterion for the unique solvability of the inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain. This problem implies the search of the unknown right-hand side.

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Authors and Affiliations

  1. Academy of Sciences of the Republic of Bashkortostan, Sterlitamak Branch, ul. Odesskaya 68, Sterlitamak, 453103, Russia

    K. B. Sabitov

  2. Institute of Mathematics with Computing Center, Ufa Scientific Center, Russian Academy of Sciences, ul. Chernyshevskoko 112, Ufa, 450077, Russia

    E. M. Safin

Authors
  1. K. B. Sabitov
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  2. E. M. Safin
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Correspondence to K. B. Sabitov.

Additional information

Original Russian Text © K. B. Sabitov and E. M. Safin, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 4, pp. 55–62.

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Sabitov, K.B., Safin, E.M. The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain. Russ Math. 54, 48–54 (2010). https://doi.org/10.3103/S1066369X10040067

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  • DOI: https://doi.org/10.3103/S1066369X10040067

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