TY - JOUR T1 - Cauchy Problems for Degenerate Hyperbolic Monge-Ampere Equations and Some Applications AU - Hong Jiaxing JO - Journal of Partial Differential Equations VL - 2 SP - 1 EP - 18 PY - 1991 DA - 1991/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5764.html KW - degenerate hyperbolic KW - Monge-Ampere equation KW - local isometric embedding AB - In this paper, the Cauchy problems for a class of nonlinear degenerate hyperbolic Monge-Ampere equations are studied and some results on local isometric embedding in R^3 of two dimensional Riemannian manifolds with non positive curvature, are contained.