Bilateral obstacle optimal control for a quasilinear elliptic variational inequality with a source term

Yuquan Ye; Chi Kin Chan; B. P.K. Leung; Q. Chen

doi:10.1016/j.na.2005.12.037

Bilateral obstacle optimal control for a quasilinear elliptic variational inequality with a source term

Yuquan Ye, Chi Kin Chan, B. P.K. Leung, Q. Chen

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

2 Citations (Scopus)

Abstract

In this paper we consider an obstacle control problem where the state satisfies a quasilinear elliptic variational inequality with a source term and the control functions are the upper and the lower obstacles. We assume that the obstacles φ and ψ are in W2, 2(Ω), but this causes difficulty for deriving the optimality condition. By applying the weak convergence method, we establish existence and incomplete necessary conditions for the optimal control.

Original language	English
Pages (from-to)	1170-1184
Number of pages	15
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	66
Issue number	5
DOIs	https://doi.org/10.1016/j.na.2005.12.037
Publication status	Published - 1 Mar 2007

Keywords

Bilateral obstacle control
Existence
Necessary condition
Quasilinear elliptic variational inequality

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/j.na.2005.12.037

Cite this

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abstract = "In this paper we consider an obstacle control problem where the state satisfies a quasilinear elliptic variational inequality with a source term and the control functions are the upper and the lower obstacles. We assume that the obstacles φ and ψ are in W2, 2(Ω), but this causes difficulty for deriving the optimality condition. By applying the weak convergence method, we establish existence and incomplete necessary conditions for the optimal control.",

keywords = "Bilateral obstacle control, Existence, Necessary condition, Quasilinear elliptic variational inequality",

author = "Yuquan Ye and Chan, \{Chi Kin\} and Leung, \{B. P.K.\} and Q. Chen",

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AU - Ye, Yuquan

AU - Chan, Chi Kin

AU - Leung, B. P.K.

AU - Chen, Q.

PY - 2007/3/1

Y1 - 2007/3/1

N2 - In this paper we consider an obstacle control problem where the state satisfies a quasilinear elliptic variational inequality with a source term and the control functions are the upper and the lower obstacles. We assume that the obstacles φ and ψ are in W2, 2(Ω), but this causes difficulty for deriving the optimality condition. By applying the weak convergence method, we establish existence and incomplete necessary conditions for the optimal control.

AB - In this paper we consider an obstacle control problem where the state satisfies a quasilinear elliptic variational inequality with a source term and the control functions are the upper and the lower obstacles. We assume that the obstacles φ and ψ are in W2, 2(Ω), but this causes difficulty for deriving the optimality condition. By applying the weak convergence method, we establish existence and incomplete necessary conditions for the optimal control.

KW - Bilateral obstacle control

KW - Existence

KW - Necessary condition

KW - Quasilinear elliptic variational inequality

UR - https://www.scopus.com/pages/publications/33845296576

U2 - 10.1016/j.na.2005.12.037

DO - 10.1016/j.na.2005.12.037

M3 - Journal article

SN - 0362-546X

VL - 66

SP - 1170

EP - 1184

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

Bilateral obstacle optimal control for a quasilinear elliptic variational inequality with a source term

Abstract

Keywords

ASJC Scopus subject areas

More information

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