The existence results for optimal control problems governed by a variational inequality

Y. Y. Zhou; Xiaoqi Yang; K. L. Teo

doi:10.1016/j.jmaa.2005.08.053

The existence results for optimal control problems governed by a variational inequality

Y. Y. Zhou, Xiaoqi Yang, K. L. Teo

Research output: Journal article publication › Journal article › Academic research › peer-review

17 Citations (Scopus)

Abstract

In this paper, we establish the existence of the optimal control for an optimal control problem where the state of the system is defined by a variational inequality problem with monotone type mappings. Moreover, as an application, we get several existence results of an optimal control for the optimal control problem where the system is defined by a quasilinear elliptic variational inequality problem with an obstacle.

Original language	English
Pages (from-to)	595-608
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	321
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2005.08.053
Publication status	Published - 15 Sept 2006

Keywords

Obstacle problem
Optimal control
Variational inequality

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/j.jmaa.2005.08.053

Cite this

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KW - Variational inequality

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DO - 10.1016/j.jmaa.2005.08.053

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The existence results for optimal control problems governed by a variational inequality

Abstract

Keywords

ASJC Scopus subject areas

More information

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