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Dirichlet Type Problems for First Order Strictly Hyperbolic Systems with Constant Coefficients in a Two-Dimensional Domain

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We consider a first order strictly hyperbolic system of four equations with constant coefficients in a bounded domain with piecewise boundary consisting of eight smooth noncharacteristic arcs. In this domain, we consider boundary value problems with two linear relations between components of the solution and show show that these problems are uniquely solvable under certain assumptions.

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Authors and Affiliations

  1. P. N. Lebedev Physical Institute RAS, 53, Leninskii pr, Moscow, 119991, Russia

    N. A. Zhura

  2. National Research University “Belgorod State University”, 85, Pobedy St, Belgorod, 308015, Russia

    V. A. Polunin

Authors
  1. N. A. Zhura
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  2. V. A. Polunin
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Correspondence to N. A. Zhura.

Additional information

Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki17, No. 3, 2017, pp. 17-32.

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Zhura, N.A., Polunin, V.A. Dirichlet Type Problems for First Order Strictly Hyperbolic Systems with Constant Coefficients in a Two-Dimensional Domain. J Math Sci 237, 595–609 (2019). https://doi.org/10.1007/s10958-019-04185-1

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  • DOI: https://doi.org/10.1007/s10958-019-04185-1

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