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

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

2010-03-11

arxiv.org/abs/1003.2241v1

Comm. PDE, 32 (2007), 665-674

Mathematics

Analysis of PDEs

Scientific paper

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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