Optimal obstacle control problems involving nonsmooth cost functionals and quasilinear variational inequalities

Z Peng - SIAM Journal on Control and Optimization, 2020 - SIAM
This paper deals with the optimal control of an obstacle problem where the control variable
is the obstacle. The state system is described by a class of quasilinear elliptic variational …

An optimal control problem governed by quasi-linear variational inequalities

H Lou - SIAM journal on control and optimization, 2002 - SIAM
An optimal control problem governed by quasi-linear variational inequality is considered.
The cost functional to be minimized contains the solution of a quasi-linear variational …

Optimal control of the obstacle in a quasilinear elliptic variational inequality

Y Ye, Q Chen - Journal of mathematical analysis and applications, 2004 - Elsevier
In this paper we consider an obstacle control problem where the state satisfies a quasilinear
elliptic variational inequality and the control function is the obstacle. The state is chosen to …

On the regularity of an obstacle control problem

H Lou - Journal of mathematical analysis and applications, 2001 - Elsevier
An optimal control problem of the obstacle for an elliptic variational inequality is considered,
in which the obstacle is regarded as the control. To get the regularity of the optimal pair, a …

Optimal control of obstacle for quasi-linear elliptic variational bilateral problems

Q Chen, D Chu, RCE Tan - SIAM journal on control and optimization, 2005 - SIAM
This paper is concerned with an optimal control problem for quasi-linear elliptic variational
inequality in which the bilateral obstacles are the control. The cost functional of this optimal …

Optimal control for semilinear evolutionary variational bilateral problem

Q Chen - Journal of mathematical analysis and applications, 2003 - Elsevier
This paper is concerned with an optimal control problem for some semilinear evolutionary
variational inequalities associated with bilateral constraints. The control domain is a general …

Double obstacle control problem for a quasilinear elliptic variational inequality with source term

Q Chen, D Chu, RCE Tan, Y Ye - Nonlinear Analysis: Real World …, 2014 - Elsevier
Double obstacle control problem for a quasilinear elliptic variational inequality with source
term - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

The existence results for optimal control problems governed by quasi-variational inequalities in reflexive Banach spaces

Z Wang, N Huang, CF Wen - Taiwanese Journal of Mathematics, 2012 - projecteuclid.org
In this paper, some existence results for optimal control problems governed by abstract
quasi-variational inequalities are proved in reflexive Banach spaces. As an application, an …

Optimal control of variational inequalities with delays in the highest order spatial derivatives

SW Zhu - Acta Mathematica Sinica, 2006 - Springer
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 …

The existence results for obstacle optimal control problems

Y Ye, CK Chan, HWJ Lee - Applied mathematics and computation, 2009 - Elsevier
This paper is concerned with the existence of an optimal control problem for a quasi-linear
elliptic obstacle variational inequality in which the obstacle is taken as the control. Firstly, we …