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arXiv · 1003.2241

Counterexamples to the Local Solvability of Monge-Ampere Equations in the Plane

Marcus A. Khuri
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Abstract

In this paper, we present smooth examples of degenerate hyperbolic and mixed type Monge-Ampere equations in the plane, which do not admit a local C^3 solution.

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Marcus A. Khuri. 2010-03-11. Counterexamples to the Local Solvability of Monge-Ampere Equations in the Plane. https://arxiv.org/abs/1003.2241

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