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 
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/
@article{FPM_2000_6_2_a2,
     author = {Yu. N. Bratkov},
     title = {On the existence of the classical solution of the hyperbolic {Monge{\textendash}Ampere} equation on the whole},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {379--390},
     year = {2000},
     volume = {6},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.