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Displaying similar documents to “A simple proof of the propagation of singularities for solutions of Hamilton-Jacobi equations”

Singularities in contact geometry

Marc Chaperon (2003)

Banach Center Publications

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In the first half of the paper, we consider singularities of infinitesimal contact transformations and first order partial differential equations, the main results being related to the classical Sternberg-Chen theorem for hyperbolic germs of vector fields. The second half explains how to construct global generating phase functions for solutions of Hamilton-Jacobi equations and see what their singularities look like.