%0 Journal Article
%J Siam J. Math. Anal., 2001, 33, 959
%D 2001
%T Stability of L-infinity solutions for hyperbolic systems with coinciding shocks and rarefactions
%A Stefano Bianchini
%X 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.
%B Siam J. Math. Anal., 2001, 33, 959
%I SISSA Library
%G en
%U http://hdl.handle.net/1963/1523
%1 2640
%2 Mathematics
%3 Functional Analysis and Applications
%$ Made available in DSpace on 2004-09-01T13:03:35Z (GMT). No. of bitstreams: 1\\nmath.AP0006094.pdf: 295215 bytes, checksum: 756406a074bc2e1702b76422489572cc (MD5)\\n Previous issue date: 2000
%R 10.1137/S0036141000377900