Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Doi
Abstract
In this paper we study an optimal control problem for a doubly
nonlinear evolution equation governed by time-dependent subdifferentials. We
prove the existence of solutions to our equation. Also, we consider an
optimal control problem without uniqueness of solutions to the state system.
Then, we prove the existence of an optimal control which minimizes the
nonlinear cost functional. Moreover, we apply our general result to some
model problem
