Special Session 41: 

Optimal Control of History-Dependent Evolution Inclusions with Applications to Frictional Contact

Stanislaw Migorski
Jagiellonian University in Krakow
Poland
Co-Author(s):    Stanislaw Migorski
Abstract:
In this talk we study a class of subdifferential evolution inclusions involving history-dependent operators. First, we improve an existence and uniqueness theorem, and prove a continuous dependence result in weak topologies. Next, we establish existence of optimal solution to an optimal control problem for the evolution inclusion. Finally, we illustrate the results by an example of an optimal control of a dynamic frictional contact problem in mechanics which weak formulation leads to an evolution variational inequality.