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\title{Propagation of singularities for semiconcave solutions of Hamilton-Jacobi equations}
\author{Marco~Mazzola}
\institute{Institut de Math\'ematiques de Jussieu, Paris 6}
\email{marco.mazzola@imj-prg.fr}
\coauthor{Piermarco~Cannarsa \and Carlo~Sinestrari} % comment out if not needed

\mymaketitle

\section{Abstract}
Given a semiconcave solution $u$ of an evolutionary Hamilton-Jacobi equation, we are interested in the structure of the singular set of $u$, i.e. the set of points of non-differentiability of $u$. We provide conditions on the Hamiltonian that guarantee the propagation of any singularity along the generalized characteristic starting from the point.

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