Discontinuous solutions of Hamilton-Jacobi equations versus Radon measure-valued solutions of scalar conservation laws: Disappearance of singularities

M. Bertsch, F. Smarrazzo, A. Terracina +1

Let $H$ be a bounded and Lipschitz continuous function. We consider discontinuous viscosity solutions of the Hamilton-Jacobi equation $U_t+H(U_x)=0$ and signed Radon measure valu…