Geodesic
Justification of the construction of the solution of a problem on a point source of $SH$ waves in a layered media with a vertical boundary
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 24, Tome 218 (1994), pp. 56-66
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The solution was found by the separation of variables method. Justification is made by using suitable space of generalized functions. Boundary conditions “are hid” in the space. Bibliography: 5 titles. 
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     title = {Justification of the construction of the solution of a~problem on a~point source of $SH$ waves in a~layered media with a~vertical boundary},
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S. A. Kochengin. Justification of the construction of the solution of a problem on a point source of $SH$ waves in a layered media with a vertical boundary. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 24, Tome 218 (1994), pp. 56-66. http://geodesic.mathdoc.fr/item/ZNSL_1994_218_a5/