The geometric Cauchy problem for the hyperbolic Hessian one equation

DOI10.1016/j.na.2015.05.021zbMath1325.53020OpenAlexW585488106MaRDI QIDQ495237

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 September 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10481/37917

zbMATH Keywords

Cauchy problemimproper affine sphereshyperbolic Hessian one equation

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (2)

Improper affine spheres and the Hessian one equation ⋮ The indefinite affine Cauchy problem

Cites Work

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• The Cauchy problem for the Liouville equation and Bryant surfaces
• The affine Cauchy problem
• Embedded isolated singularities of flat surfaces in hyperbolic 3-space
• Area-based medial axis of planar curves
• The Cauchy problem for improper affine spheres and the Hessian one equation
• Björling problem for maximal surfaces in Lorentz–Minkowski space
• Global affine differential geometry of hypersurfaces

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