On the propagation of singularities of semi-convex functions
نویسندگان
چکیده
The paper deals with the propagation of singularities of semi-convex functions. We obtain lower bounds on the degree of the singularities and on the size of the singular set in a neighborhood of a singular point. These results apply to viscosity solutions of HamiltonJacobi-Bellman equations. In particular, they provide sufficient conditions for the propagation of singularities, depending only on the geometry of the superdifferential at the singular point. Key words, convexity, semi-concavity, propagation of singularities, Hamilton-Jacobi equations
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