# Meeting Details

Title: $L^1$ error estimates for balance laws with space-dependent source Hyperbolic and Mixed Type PDEs Seminar Debora Amadori, University of L'Aquila Italy This talk will concern the approximation of balance laws in one space dimension. The aim is to present an approach for proving rigorous $L^1$ error estimates for certain classes of approximations, showing the dependence on significant parameters of the problem. We focus on semilinear systems of two equation, with a space-dependent, weakly dissipative source term, that include the locally damped semilinear wave equation. The analysis relies on a suitable modification of the original Bressan-Liu-Yang $L^1$-stability theory in order to properly handle the inhomogeneity of the system. Joint work with L. Gosse (IAC--CNR, Rome, Italy).