Application of Riemann method to one system in three-dimensional space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 48-57.

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For a system of three equations of the second order we prove existence and uniqueness of solutions to the Cauchy problem and to problem with conditions on characteristics and a free surface. We construct solutions to these problems in terms of the Riemann matrix.
Keywords: hyperbolic system, Riemann method, Cauchy problem, characteristics.
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L. B. Mironova. Application of Riemann method to one system in three-dimensional space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 48-57. http://geodesic.mathdoc.fr/item/IVM_2019_6_a4/

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