Geodesic
Structure of mixed problem solution for wave equation on compact geometrical graph in nonzero initial velocity case
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 37-46

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A D'Alambert formula analogue for wave equation on the compact geometrical graph with generalized smooth transmission conditions is being proved. 
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     title = {Structure of mixed problem solution for wave equation on compact geometrical graph in nonzero initial velocity case},
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O. V. Korovina; V. L. Pryadiev. Structure of mixed problem solution for wave equation on compact geometrical graph in nonzero initial velocity case. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 3, pp. 37-46. http://geodesic.mathdoc.fr/item/ISU_2009_9_3_a6/