TY - JOUR
T1 - Unique solutions of 2x2 conservation laws with large data
JF - Indiana Univ. Math. J. 44 (1995), no. 3, 677-725
Y1 - 1995
A1 - Alberto Bressan
A1 - Rinaldo M. Colombo
AB - 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.
PB - Indiana University Mathematics Journal
UR - http://hdl.handle.net/1963/975
U1 - 3479
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -