Geodesic
On the existence of the classical solution of the hyperbolic Monge--Ampere equation on the whole
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 379-390.

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The Cauchy problem for the hyperbolic Monge–Ampere equation is considered. Sufficient conditions for the existence of the classical solution on the whole are formulated. 
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     author = {Yu. N. Bratkov},
     title = {On the existence of the classical solution of the hyperbolic {Monge--Ampere} equation on the whole},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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Yu. N. Bratkov. On the existence of the classical solution of the hyperbolic Monge--Ampere equation on the whole. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 379-390. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a2/