Journal of Mathematical Sciences

, Volume 237, Issue 4, pp 595–609 | Cite as

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

  • N. A. ZhuraEmail author
  • V. A. Polunin

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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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.P. N. Lebedev Physical Institute RASMoscowRussia
  2. 2.National Research University “Belgorod State University”BelgorodRussia

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