Abstract: We prove $L_{1}$ contractivity of weak solutions to a conservation law with a flux function that may depend discontinuously on the space variable. Furthermore, we show that the $L_{1}$ difference between solutions to conservation laws with different flux functions, is bounded by the total variation with respect to the space variable, of the difference between the flux functions.
mailto:conservation@math.ntnu.no Last modified: Sat Dec 13 12:50:39 1997