TY - JOUR
T1 - Conservation laws with time dependent discontinuous coefficients
JF - SIAM J. Math. Anal. 36 (2005) 1293-1309
Y1 - 2005
A1 - Giuseppe Maria Coclite
A1 - Nils Henrik Risebro
AB - 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].
PB - SISSA Library
UR - http://hdl.handle.net/1963/1666
U1 - 2452
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -