Special Session 30: Optimal Control of Finite and Infinite Dimensional Dynamic Systems and their Applications
Well-posedness of parabolic variational-hemivariational inequalites with unilateral constraints
Stanislaw Migorski
Jagiellonian University
Poland
Co-Author(s):    
Abstract:
In this paper we study a novel class of parabolic evolution variational-hemivariational inequalites with a unilateral constraint. A theorem on the well-posedness for a weak solution is established. We illustrate the results by a quasistatic nonsmooth frictional viscoelastic contact problem with a unilateral constraint for which we derive results on the unique weak solvability and the stability of the solution.
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