00871nas a2200121   4500008004100000245006200041210006200103260004300165520046100208100002100669700002400690856003500714       1995                        en  d00aUnique solutions of 2x2 conservation laws with large data0 aUnique solutions of 2x2 conservation laws with large data  bIndiana University Mathematics Journal3 aFor 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.1 aBressan, Alberto1 aColombo, Rinaldo M.  uhttp://hdl.handle.net/1963/975