Optimal Control Problems for Nonlinear Variational Evolution Inequalities

被引：0

作者：

Ju, Eun-Young ^{[1
]}

Jeong, Jin-Mun ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

基金：

新加坡国家研究基金会;

关键词：

D O I：

10.1155/2013/724190

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with optimal control problems governed by semilinear parabolic type equations and in particular described by variational inequalities. We will also characterize the optimal controls by giving necessary conditions for optimality by proving the Gateaux differentiability of solution mapping on control variables.

引用

页数：10

共 50 条

[1] On optimal control problems connected with eigenvalue variational inequalities
Bock, I
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2001, 24 (09) : 671 - 688
[2] On the optimal control of parabolic variational inequalities, the evolution dam problem
Sweilam, NH
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1997, 18 (7-8) : 843 - 855
[3] OPTIMAL CONTROL OF VARIATIONAL INEQUALITIES
Bensoussan, Alain
Chandrasekaran, Keerthi
Turi, Janos
COMMUNICATIONS IN INFORMATION AND SYSTEMS, 2010, 10 (04) : 203 - 220
[4] CONTROLLABILITY FOR NONLINEAR VARIATIONAL EVOLUTION INEQUALITIES
Park, Jong Yeoul
Jeong, Jin-Mun
Rho, Hyun-Hee
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (05) : 881 - 891
[5] State-constrained optimal control of nonlinear elliptic variational inequalities
Serovajsky, S.
OPTIMIZATION LETTERS, 2014, 8 (07) : 2041 - 2051
[6] State-constrained optimal control of nonlinear elliptic variational inequalities
S. Serovajsky
Optimization Letters, 2014, 8 : 2041 - 2051
[7] Convergence of distributed optimal control problems governed by elliptic variational inequalities
Boukrouche, Mahdi
Tarzia, Domingo A.
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2012, 53 (02) : 375 - 393
[8] Convergence of distributed optimal control problems governed by elliptic variational inequalities
Mahdi Boukrouche
Domingo A. Tarzia
Computational Optimization and Applications, 2012, 53 : 375 - 393
[9] OPTIMALITY CONDITIONS FOR OPTIMAL-CONTROL PROBLEMS OF VARIATIONAL-INEQUALITIES
BERMUDEZ, A
SAGUEZ, C
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1987, 97 : 143 - 153
[10] APPROXIMATING OPTIMAL-CONTROL PROBLEMS GOVERNED BY VARIATIONAL-INEQUALITIES
BARBU, V
NEITTAANMAKI, P
NIEMISTO, A
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1994, 15 (5-6) : 489 - 502

← 1 2 3 4 5 →