@article {2001,
title = {Stability of L-infinity solutions for hyperbolic systems with coinciding shocks and rarefactions},
journal = {Siam J. Math. Anal., 2001, 33, 959},
number = {SISSA;65/00/M},
year = {2001},
publisher = {SISSA Library},
abstract = {We consider a hyperbolic system of conservation laws u_t + f(u)_x = 0 and u(0,\\\\cdot) = u_0, where each characteristic field is either linearly degenerate or genuinely nonlinear. Under the assumption of coinciding shock and rarefaction curves and the existence of a set of Riemann coordinates $w$, we prove that there exists a semigroup of solutions $u(t) = \\\\mathcal{S}_t u_0$, defined on initial data $u_0 \\\\in L^\\\\infty$. The semigroup $\\\\mathcal{S}$ is continuous w.r.t. time and the initial data $u_0$ in the $L^1_{\\\\text{loc}}$ topology. Moreover $\\\\mathcal{S}$ is unique and its trajectories are obtained as limits of wave front tracking approximations.},
doi = {10.1137/S0036141000377900},
url = {http://hdl.handle.net/1963/1523},
author = {Stefano Bianchini}
}