%0 Journal Article
%J SIAM J. Math. Anal. 36 (2005) 1293-1309
%D 2005
%T Conservation laws with time dependent discontinuous coefficients
%A Giuseppe Maria Coclite
%A Nils Henrik Risebro
%X 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].
%B SIAM J. Math. Anal. 36 (2005) 1293-1309
%I SISSA Library
%G en
%U http://hdl.handle.net/1963/1666
%1 2452
%2 Mathematics
%3 Functional Analysis and Applications
%$ Made available in DSpace on 2004-09-01T13:06:09Z (GMT). No. of bitstreams: 1\\n96_02.pdf: 3363466 bytes, checksum: 5ed39a522bb68737585e74668afafc5a (MD5)\\n Previous issue date: 2002
%R 10.1137/S0036141002420005