@article {1995, title = {Unique solutions of 2x2 conservation laws with large data}, journal = {Indiana Univ. Math. J. 44 (1995), no. 3, 677-725}, number = {SISSA;73/95/M}, year = {1995}, publisher = {Indiana University Mathematics Journal}, abstract = {For a 2x2 hyperbolic system of conservation laws, we first consider a Riemann problem with arbitrarily large data. A stability assumption is introduced, which yields the existence of a Lipschitz semigroup of solutions, defined on a domain containing all suitably small BV perturbations of the Riemann data. We then establish a uniqueness result for large BV solutions, valid within the same class of functions where a local existence theorem can be proved.}, doi = {10.1512/iumj.1995.44.2004}, url = {http://hdl.handle.net/1963/975}, author = {Alberto Bressan and Rinaldo M. Colombo} }