scientific article; zbMATH DE number 1381066

zbMath0978.53006MaRDI QIDQ4705748

De-Xing Kong, Ha Tien Ngoan, Mikio Tsuji

Publication date: 20 December 1999

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1998_4_27_2_309_0

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zbMATH Keywords

integrability conditionMonge-Ampère equationsingularities of solutionsnegative Gaussian curvature

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Surfaces in Euclidean and related spaces (53A05) Hyperbolic equations on manifolds (58J45)

Related Items (1)

On domains of regularity of the solutions of some special classes of Monge-Ampère-type equations

Cites Work

• Prolongation of classical solutions and singularities of generalized solutions
• Des surfaces à courbure négative constante dans l'espace à trois dimensions et de leurs singularités
• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Formation of singularities of Hamilton-Jacobi equation. II
• Formation of singularities for Hamilton-Jacobi equation with several space variables
• Semi-local classification of geometric singularities for Hamilton-Jacobi equations
• Formation of singularities for Monge-Ampère equations
• Efimov's theorem about complete immersed surfaces of negative curvature
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• Characteristic vector fields for first order partial differential equations
• Formation of Shocks for a Single Conservation Law
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