Global Propagation of Singularities for Time Dependent Hamilton-Jacobi Equations

Piermarco Cannarsa, Marco Mazzola, Carlo Sinestrari

We investigate the properties of the set of singularities of semiconcave solutions of Hamilton-Jacobi equations of the form \begin{equation*} u_t(t,x)+H(\nabla u(t,x))=0, \qquad\te…