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Displaying similar documents to “On the singularities of convex functions.”

A simple proof of the propagation of singularities for solutions of Hamilton-Jacobi equations

Yifeng Yu (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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In Albano-Cannarsa [1] the authors proved that, under some conditions, the singularities of the semiconcave viscosity solutions of the Hamilton-Jacobi equation propagate along generalized characteristics. In this note we will provide a simple proof of this interesting result.

Singularities of convex hulls as fronts of Legendre varieties

Ilia Bogaevski (1999)

Banach Center Publications

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We describe singularities of the convex hull of a generic compact smooth hypersurface in four-dimensional affine space up to diffeomorphism. It turns out that the boundary of the convex hull is the front of a Legendre variety. Its singularities are classified up to contact diffeomorphism.