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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-20,
author = {Noriaki Yamazaki},
title = {Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications},
journal = {Banach Center Publications},
volume = {86},
year = {2009},
pages = {313-327},
zbl = {1166.49007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-20}
}
Noriaki Yamazaki. Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications. Banach Center Publications, Tome 86 (2009) pp. 313-327. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-20/