Optimal obstacle control problem

In the paper we discuss some properties of the state operators of the optimal obstacle control problem for elliptic variational inequality.Existence,uniqueness and regularity of the optimal control,problem are established.In addition,the approximation of the optimal obstacle problem is also studied.

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 29; no. 5; pp. 559 - 569
Main Author 朱砾 李秀华 郭兴明
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai University Press 01.05.2008
Department of Mathematics, Xiangtan University, Xiangtan 411105,Hunan Province, P. R. China%Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
Subjects
Applications of Mathematics
Approximation
Classical Mechanics
Fluid- and Aerodynamics
Inequalities
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Obstacles
Operators
Optimization
Partial Differential Equations
Regularity
Uniqueness
处罚法
最优系统
近似问题
阻挡问题
approximate problem
O224
49K10
obstacle problem
optimality system
O178
penalized method
O175.25
Online AccessGet full text
ISSN0253-4827
1573-2754
DOI10.1007/s10483-008-0501-5

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Summary:In the paper we discuss some properties of the state operators of the optimal obstacle control problem for elliptic variational inequality.Existence,uniqueness and regularity of the optimal control,problem are established.In addition,the approximation of the optimal obstacle problem is also studied.
Bibliography:O24
obstacle problem, penalized method, optimality system, approximate problem
31-1650/O1
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-008-0501-5