On the Local Solvability of Darboux's Equation

Details On the Local Solvability of Darboux's Equation On the Local Solvability of Darboux's Equation

2010-03-11

arxiv.org/abs/1003.2240v1

Discrete Contin. Dyn. Syst. (2009), Dynamical Systems and Differential Equations, Proceedings of the 7th AIMS International Co

Mathematics

Analysis of PDEs

Scientific paper

We reduce the question of local nonsolvability of the Darboux equation, and
hence of the isometric embedding problem for surfaces, to the local
nonsolvability of a simple linear equation whose type is explicitly determined
by the Gaussian curvature.

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