Geodesic
On a mixed problem for a hyperbolic equation of the second order
Izvestiya. Mathematics , Tome 3 (1969) no. 2, pp. 357-374

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Using Laplace transform methods we establish existence theorems for a classical solution of a mixed problem for various forms of hyperbolic operators of the second order. 
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     author = {V. R. Nosov},
     title = {On a mixed problem for a hyperbolic equation of the second order},
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V. R. Nosov. On a mixed problem for a hyperbolic equation of the second order. Izvestiya. Mathematics , Tome 3 (1969) no. 2, pp. 357-374. http://geodesic.mathdoc.fr/item/IM2_1969_3_2_a3/