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The existence of a classical solution to the mixed problem for a linear second-order hyperbolic equation

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Ukrainian Mathematical Journal Aims and scope

Abstract

The paper deals with the problem of solvability of the mixed problem for a linear second-order hyperbolic partial differential equation. The minimal necessary and sufficient conditions for the existence of a unique classical solution to this problem are established.

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References

  1. Yu. A. Mitropol'skii and G. P. Khoma,On the Efficiency of the Application of Asymptotic Methods to Quasiwave Equations of Hyperbolic Type [in Russian], Preprint No. 89.15, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1989).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    Yu. A. Mitropol'skii (Academician Ukraininan Academy of Sciences) & L. G. Khoma

Authors
  1. Yu. A. Mitropol'skii
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  2. L. G. Khoma
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 9, pp. 1232–1238, September, 1993.

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Mitropol'skii, Y.A., Khoma, L.G. The existence of a classical solution to the mixed problem for a linear second-order hyperbolic equation. Ukr Math J 45, 1382–1389 (1993). https://doi.org/10.1007/BF01058636

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  • DOI: https://doi.org/10.1007/BF01058636

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