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Well-Posedness of the Dirichlet Problem for a Degenerating Many-Dimensional Equation of Mixed Type

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It is shown that the Dirichlet problem for a degenerating many-dimensional equation of mixed type in a cylindrical domain is uniquely solvable. A criterion for the uniqueness of a regular solution is also established.

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Authors and Affiliations

  1. Abai Kazakhstan National Pedagogic University, Tolebi Str., 86, Almaty, Kazakhstan, 050012

    S. A. Aldashev

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  1. S. A. Aldashev
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Correspondence to S. A. Aldashev.

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Translated from Neliniini Kolyvannya, Vol. 20, No. 1, pp. 20–31, January–March, 2017.

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Aldashev, S.A. Well-Posedness of the Dirichlet Problem for a Degenerating Many-Dimensional Equation of Mixed Type. J Math Sci 229, 354–366 (2018). https://doi.org/10.1007/s10958-018-3682-7

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  • DOI: https://doi.org/10.1007/s10958-018-3682-7

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