Geodesic
Uniqueness classes for the solution of Goursat's problem
Izvestiya. Mathematics , Tome 8 (1974) no. 2, pp. 423-435

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Uniqueness classes for the solution of Goursat's problem, which consists in giving Cauchy initial conditions for each of the variables $t_i$, $ i=1,\dots,n$, are studied for linear partial differential equations with constant coefficients with two groups of variables: time $t=(t_1,\dots,t_n)$ and space $x=(x_1,\dots,x_m)$. The results obtained generalize a well-known theorem of Gel'fand and Shilov on uniqueness classes for the solution of Cauchy's problem. 
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     author = {V. M. Borok},
     title = {Uniqueness classes for the solution of {Goursat's} problem},
     journal = {Izvestiya. Mathematics },
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     volume = {8},
     number = {2},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_2_a7/}
}
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V. M. Borok. Uniqueness classes for the solution of Goursat's problem. Izvestiya. Mathematics , Tome 8 (1974) no. 2, pp. 423-435. http://geodesic.mathdoc.fr/item/IM2_1974_8_2_a7/