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On a nonlocal problem for a degenerating parabolic-hyperbolic equation

  • Partial Differential Equations
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Abstract

For an equation of mixed type in a rectangular domain, we use spectral analysis to establish a uniqueness criterion for the solution of a problem with a nonlocal condition relating the values of the unknown solution that belong to different types of the considered equation. We prove the stability of the solution with respect to the nonlocal condition.

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Authors and Affiliations

  1. Institute for Applied Research, Academy of Sciences of Republic Bashkortostan, Sterlitamak, Russia

    K. B. Sabitov & S. N. Sidorov

  2. Sterlitamak Branch of Bashkir State University, Sterlitamak, Russia

    K. B. Sabitov & S. N. Sidorov

Authors
  1. K. B. Sabitov
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  2. S. N. Sidorov
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Correspondence to K. B. Sabitov.

Additional information

Original Russian Text © K.B. Sabitov, S.N. Sidorov, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 3, pp. 356–365.

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Sabitov, K.B., Sidorov, S.N. On a nonlocal problem for a degenerating parabolic-hyperbolic equation. Diff Equat 50, 352–361 (2014). https://doi.org/10.1134/S0012266114030094

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  • DOI: https://doi.org/10.1134/S0012266114030094

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