The initial-boundary value problem for general non-local scalar conservation laws in one space dimension

We prove a global well-posedness result for a class of weak entropy solutions of bounded variation (BV) of scalar conservation laws with non-local flux on bounded domains, under suitable regularity assumptions on the flux function. In particular, existence is obtained by proving the convergence of an adapted Lax-Friedrichs algorithm. Lipschitz continuous dependence from initial and boundary data is derived applying Kružhkov's doubling of variable technique.