@article {2005,
title = {Conservation laws with time dependent discontinuous coefficients},
journal = {SIAM J. Math. Anal. 36 (2005) 1293-1309},
number = {SISSA;96/2002/M},
year = {2005},
publisher = {SISSA Library},
abstract = {We consider scalar conservation laws where the flux function depends discontinuously on both the spatial and temporal location. Our main results are the existence and well-posedness of an entropy solution to the Cauchy problem. The existence is established by showing that a sequence of front tracking approximations is compact in L1, and that the limits are entropy solutions. Then, using the definition of an entropy solution taken form [11], we show that the solution operator is L1 contractive. These results generalize the corresponding results from [16] and [11].},
doi = {10.1137/S0036141002420005},
url = {http://hdl.handle.net/1963/1666},
author = {Giuseppe Maria Coclite and Nils Henrik Risebro}
}