K. L. Kuttler and M. Shillor,

We apply the recent theory of evolution inclusions for set-valued
pseudomonotone maps, developed in Kuttler and Shillor (1999),
to the problem of dynamic frictional contact with normal compliance and
wear. The friction coefficient is ssumed to be slip rate dependent, and may
be continuous or discontinuous, a graph with a vertical segment at the
origin, representing the transition from the static to the dynamic value.
The wear of the contacting surfaces is modeled by using the Archard law. We
prove the existence of a weak solution for the problem. We establish the
uniqueness of the weak solution in the case when the friction coefficient is
continuous. We also show that the problem with prescribed wear depends
continuously on the wear.