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Many-dimensional Dirichlet and Tricomi problems for one class of hyperbolic-elliptic equations

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Abstract

For the generalized many-dimensional Lavrent’ev-Bitsadze equation, we prove the unique solvability of the Dirichlet and Tricomi problems. We also establish the existence and uniqueness of a solution of the Dirichlet problem in the hyperbolic part of a mixed domain.

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References

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Authors
  1. S. A. Aldashev
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Additional information

Alma-Ata Institute of Engineers of Railway Transport, Alma-Ata. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 12. pp. 1587–1593, December, 1997.

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Aldashev, S.A. Many-dimensional Dirichlet and Tricomi problems for one class of hyperbolic-elliptic equations. Ukr Math J 49, 1783–1790 (1997). https://doi.org/10.1007/BF02513057

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  • DOI: https://doi.org/10.1007/BF02513057

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