Optimal Control of Variational Inequalities with Delays in the Highest Order Spatial Derivatives

Authors
Zhu, Shang Wei
Citation
Zhu, Shang Wei, Optimal Control of Variational Inequalities with Delays in the Highest Order Spatial Derivatives, Acta mathematica Sinica. English series (Print) , 22(2), 2006, pp. 607-624
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
2
Year of publication
2006
Pages
607 - 624
Database
ACNP
SICI code
Abstract
In this paper, an optimal control problem for parabolic variational inequalities with delays in the highest order spatial derivatives is investigated. The well-posedness of such kinds of variational inequalities is established. The existence of optimal controls under a Cesari-type condition is proved, and the necessary conditions of Pontryagin type for optimal controls is derived.