Geodesic
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. 
@article{IVM_2019_6_a4,
     author = {L. B. Mironova},
     title = {Application of {Riemann} method to one system in three-dimensional space},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {48--57},
     publisher = {mathdoc},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_6_a4/}
}
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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/