Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications
Volume 86 / 2009
Banach Center Publications 86 (2009), 313-327
MSC: Primary 49J24; Secondary 35K90.
DOI: 10.4064/bc86-0-20
Abstract
In this paper we consider optimal control problems for abstract nonlinear evolution equations associated with time-dependent subdifferentials in a real Hilbert space. We prove the existence of an optimal control that minimizes the nonlinear cost functional. Also, we study approximating control problems of our equations. Then, we show the relationship between the original optimal control problem and the approximating ones. Moreover, we give some applications of our abstract results.
