Cauchy Problems for Degenerate Hyperbolic Monge-Ampere Equations and Some Applications

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Abstract

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.

Keywords:

degenerate hyperbolic; Monge-Ampere equation; local isometric embedding
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Cauchy Problems for Degenerate Hyperbolic Monge-Ampere Equations and Some Applications. (1991). Journal of Partial Differential Equations, 4(2), 1-18. https://global-sci.com/index.php/jpde/article/view/3676

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