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On a Linear Inverse Problem for a Multidimensional Mixed-Type Equation

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Abstract

We study the well-posedness of a linear inverse problem for a multidimensional mixed-type equation including the classical equations of elliptic, hyperbolic, and parabolic types as special cases. For this problem, using the “ε-regularization,” a priori estimate, and successive approximationmethods, we prove the existence and uniqueness theorems for the solution in some function class.

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Authors and Affiliations

  1. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100041, Uzbekistan

    S. Z. Dzhamalov & R. R. Ashurov

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  1. S. Z. Dzhamalov
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  2. R. R. Ashurov
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Correspondence to S. Z. Dzhamalov.

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Russian Text © S.Z. Dzhamalov, R.R. Ashurov, 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 1, pp. 34–44.

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Dzhamalov, S.Z., Ashurov, R.R. On a Linear Inverse Problem for a Multidimensional Mixed-Type Equation. Diff Equat 55, 34–45 (2019). https://doi.org/10.1134/S001226611901004X

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  • DOI: https://doi.org/10.1134/S001226611901004X

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