The hyperbolic Monge-Ampere equation: classical solutions on the whole plane
arXiv:0901.0174
Abstract
The Cauchy problem for the hyperbolic Monge-Ampere equation is considered. The equation has the most general form. Coefficients are arbitrary functions depending on two independent variables, unknown function, and first order derivatives. Sufficient conditions on the existence of a (unique) C^3-solution on the whole plain are formulated.
43 pages. English, Russian