Geodesic
Generalized Cauchy problem for an ultraparabolic equation
Izvestiya. Mathematics , Tome 1 (1967) no. 6, pp. 1285-1303

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We establish that the Cauchy problem (classical and generalized) for an ultraparabolic equation with constant coefficients and with an initial condition on any piecewise smooth admissible surface is correctly formulated. We obtain an “integral” representation of the solution. 
@article{IM2_1967_1_6_a8,
     author = {V. S. Vladimirov and Yu. N. Drozhzhinov},
     title = {Generalized {Cauchy} problem for an ultraparabolic equation},
     journal = {Izvestiya. Mathematics },
     pages = {1285--1303},
     publisher = {mathdoc},
     volume = {1},
     number = {6},
     year = {1967},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_6_a8/}
}
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V. S. Vladimirov; Yu. N. Drozhzhinov. Generalized Cauchy problem for an ultraparabolic equation. Izvestiya. Mathematics , Tome 1 (1967) no. 6, pp. 1285-1303. http://geodesic.mathdoc.fr/item/IM2_1967_1_6_a8/