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On Some Boundary Value Problems for Multidimensional Higher Order Equations of Mixed Type

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Abstract

We describe the statements of boundary value problems for multidimensional higher order equations of mixed type and propose a method for constructing coercive boundary value problems. Also, we prove the generalized and regular solvability of these boundary value problems in Sobolev spaces.

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Funding

The authors were supported by the Russian Foundation for Basic Research (Grant 18–51–41009).

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Authors and Affiliations

  1. Romanovskii Institute of Mathematics, Gubkin Russian State University of Oil and Gas (National Research University), Tashkent, Uzbekistan

    S. Z. Dzhamalov

  2. Yugra State University, Khanty-Mansiisk, Russia

    S. G. Pyatkov

  3. Sobolev Institute of Mathematics, Novosibirsk, Russia

    S. G. Pyatkov

Authors
  1. S. Z. Dzhamalov
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  2. S. G. Pyatkov
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Correspondence to S. Z. Dzhamalov.

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Dzhamalov, S.Z., Pyatkov, S.G. On Some Boundary Value Problems for Multidimensional Higher Order Equations of Mixed Type. Sib Math J 61, 610–625 (2020). https://doi.org/10.1134/S0037446620040059

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  • DOI: https://doi.org/10.1134/S0037446620040059

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