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Volume 4, Issue 2
Cauchy Problems for Degenerate Hyperbolic Monge-Ampere Equations and Some Applications

Hong Jiaxing

J. Part. Diff. Eq.,4(1991),pp.1-18

Published online: 1991-04

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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.
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degenerate hyperbolic Monge-Ampere equation local isometric embedding

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@Article{JPDE-4-1, author = {Hong Jiaxing}, title = {Cauchy Problems for Degenerate Hyperbolic Monge-Ampere Equations and Some Applications}, journal = {Journal of Partial Differential Equations}, year = {1991}, volume = {4}, number = {2}, pages = {1--18}, 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5764.html} }
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.
Hong Jiaxing. (1970). Cauchy Problems for Degenerate Hyperbolic Monge-Ampere Equations and Some Applications. Journal of Partial Differential Equations. 4 (2). 1-18. doi:
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