@article{700282,
     title = {The existence of global solutions to the elliptic-hyperbolic Davey-Stewartson system with small initial data},
     booktitle = {Proceedings of Equadiff 9},
     series = {GDML\_Books},
     publisher = {Masaryk University},
     address = {Brno},
     year = {1998},
     pages = {131-136},
     url = {http://dml.mathdoc.fr/item/700282}
}

Hayashi, Nakao; Hirata, Hitoshi. The existence of global solutions to the elliptic-hyperbolic Davey-Stewartson system with small initial data, dans Proceedings of Equadiff 9, GDML_Books,  (1998), pp. 131-136. http://gdmltest.u-ga.fr/item/700282/