Estimates of the difference between the entropy solutions of the single conservation law ut+div g(u) = 0, u(0, ·) = u0 and of the evolutionary integral equation (k * (u-u0))t+div g(u) = 0 are given in terms of k, g and u0. A corresponding result is obtained for more general evolution equations with an accretive non-linearity.
Bibliographical noteFunding Information:
* Partially supported by NSF Grant DMS-94-07952. E-mail: cockburn -E-mail: Gustaf.Gripenberg helsinki.fi. E-mail: Stig-Olof.Londen hut.fi.