Bilateral obstacle control problem of parabolic variational inequalities

被引：3

作者：

Chen, Qihong ^{[1
]}

Chu, Delin

Tan, Roger C. E.

机构：

[1] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China

[2] Natl Univ Singapore, Dept Math, Kent Ridge, Singapore

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2007年 / 46卷 / 04期

关键词：

bilateral obstacle control problem; parabolic variational inequality; optimality system; monotonicity inequality;

D O I：

10.1137/050638047

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the optimality system as well as the existence theorem for an obstacle optimal control problem are established, in which the governing system is a parabolic bilateral variational inequality and the input control is the pair of upper and lower obstacles.

引用

页码：1518 / 1537

页数：20

共 50 条

[21] The uniqueness of the solution for the definite problem of a parabolic variational inequality [J].

Song, Liping ;

Yu, Wanghui .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,

[22] Feedback robust control for a parabolic variational inequality [J].

Maksimov, V .

SYSTEM MODELING AND OPTIMIZATION, 2005, 166 :123-134

[23] Optimal Control of Elliptic Variational–Hemivariational Inequalities [J].

Zijia Peng ;

Karl Kunisch .

Journal of Optimization Theory and Applications, 2018, 178 :1-25

[24] Optimal Control of Elliptic Variational-Hemivariational Inequalities [J].

Peng, Zijia ;

Kunisch, Karl .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 178 (01) :1-25

[25] Quasilinear parabolic variational inequalities with multi-valued lower-order terms [J].

Carl, Siegfried ;

Le, Vy K. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2014, 65 (05) :845-864

[26] Quasilinear parabolic variational inequalities with multi-valued lower-order terms [J].

Siegfried Carl ;

Vy K. Le .

Zeitschrift für angewandte Mathematik und Physik, 2014, 65 :845-864

[27] Existence and Uniqueness of Generalized Solutions of Variational Inequalities with Fourth-Order Parabolic Operators in Finance [J].

Wu, Tao ;

Sun, Yudong .

SYMMETRY-BASEL, 2022, 14 (09)

[28] Accuracy of an Implicit Scheme for the Finite Element Method with a Penalty for a Nonlocal Parabolic Obstacle Problem [J].

Glazyrina, O. V. ;

Dautov, R. Z. ;

Gubaidullina, D. A. .

RUSSIAN MATHEMATICS, 2024, 68 (02) :1-17

[29] Implicit Finite Element Scheme with a Penalty for a Nonlocal Parabolic Obstacle Problem of Kirchhoff Type [J].

O. V. Glazyrina ;

R. Z. Dautov ;

E. Y. Myagkova .

Lobachevskii Journal of Mathematics, 2023, 44 :2675-2688

[30] Implicit Finite Element Scheme with a Penalty for a Nonlocal Parabolic Obstacle Problem of Kirchhoff Type [J].

Glazyrina, O. V. ;

Dautov, R. Z. ;

Myagkova, E. Y. .

LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (07) :2675-2688

← 1 2 3 4 5 →