The problem of regular isometric embeddings and the Monge-Ampère equation of hyperbolic type

DOI10.1007/BF02364881zbMath0962.53005OpenAlexW2063045463MaRDI QIDQ1303381

E. V. Shikin

Publication date: 5 October 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68769

zbMATH Keywords

Cauchy problemMonge-Ampère equationisometric embeddingsnegative curvatureGaussian curvatureprescribed curvaturehyperbolic type

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Surfaces in Euclidean and related spaces (53A05) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

• Gaussian Curvature and Local Embedding
• On Hyperbolic Partial Differential Equations
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