A. Amassad, M. Shillor and M. Sofonea,
Acta Mathematica Universitatis Comenianae,

Abstract. We consider a nonlinear evolution inclusion associated with a time
dependent convex set in a Hilbert space. We prove an existence and uniqueness
result for the problem using classical results from the theory of evolution equations
involving maximal monotone operators, a fixed point argument and a regularization
method. We apply this result to a model for the quasistatic evolution process of a
perfectly plastic body which is in frictional contact with a rigid foundation and obtain
the existence of the unique stress field.