Preprint 2013-009
On an inverse problem for scalar conservation laws
Helge Holden, Fabio Simone Priuli and Nils Henrik Risebro
Abstract: We study in what sense one can determine the function $k=k(x)$ in the scalar hyperbolic conservation law $u_t+(k(x)f(u))_x=0$ by observing the solution $u(t,\cdot)$ of the Cauchy problem with initial data $u\rvert_{t=0}=u_o$ .