Geodesic
Internal boundary value problems with displacement for the mixed-wave equation
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 36 (2021) no. 3, pp. 8-14 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper investigates boundary value problems with an internal boundary displacement for a model mixed-wave equation, which are generalizations of the Goursat problem and problems with data on opposite characteristics. It is shown that, under certain conditions for given functions, the solution to the problems under study exists, is unique, and is written out in an explicit form.
Keywords: wave equation, mixed wave equation, degenerate hyperbolic equation, problem with displacement, internal boundary value problem. 
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Zh. A. Balkizov; V. A. Vogahova. Internal boundary value problems with displacement for the mixed-wave equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 36 (2021) no. 3, pp. 8-14. http://geodesic.mathdoc.fr/item/VKAM_2021_36_3_a0/

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