%0 Journal Article %J P. Am. Math. Soc., 2002, 130, 1961 %D 2002 %T On the Stability of the Standard Riemann Semigroup %A Stefano Bianchini %A Rinaldo M. Colombo %B P. Am. Math. Soc., 2002, 130, 1961 %I SISSA Library %G en %U http://hdl.handle.net/1963/1528 %1 2635 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T13:03:40Z (GMT). No. of bitstreams: 1\\nmath.AP0007055.pdf: 195640 bytes, checksum: 3708c7f60ae79e0790175863c0290b0e (MD5)\\n Previous issue date: 2000 %0 Journal Article %J Indiana Univ. Math. J. 44 (1995), no. 3, 677-725 %D 1995 %T Unique solutions of 2x2 conservation laws with large data %A Alberto Bressan %A Rinaldo M. Colombo %X 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. %B Indiana Univ. Math. J. 44 (1995), no. 3, 677-725 %I Indiana University Mathematics Journal %G en %U http://hdl.handle.net/1963/975 %1 3479 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:41:11Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1995 %R 10.1512/iumj.1995.44.2004