Optimal control of unilateral obstacle problem with a source term

被引：6

作者：

Ghanem, Radouen ^{[1
,2
]}

机构：

[1] Univ Badji Mokhtar, Dept Math LANOS, Annaba 23000, Algeria

[2] Univ Orleans, F-45067 Orleans 2, France

来源：

POSITIVITY | 2009年 / 13卷 / 02期

关键词：

Optimal control; variational inequality; REGULARITY;

D O I：

10.1007/s11117-008-2241-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider an optimal control problem for the obstacle problem with an elliptic variational inequality. The obstacle function which is the control function is assumed in H-2. We use an approximate technique to introduce a family of problems governed by variational equations. We prove optimal solutions existence and give necessary optimality conditions.

引用

页码：321 / 338

页数：18

共 16 条

[11] Optimal control of obstacle problems by H1-obstacles [J].

Ito, Kazufumi ;

Kunisch, Karl .

APPLIED MATHEMATICS AND OPTIMIZATION, 2007, 56 (01) :1-17

[12]

Lions J.L, 1968, Problemes Aux Limites Non Homogenes

[13] On the regularity of an obstacle control problem [J].

Lou, HW .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 258 (01) :32-51

[14] OPTIMAL-CONTROL IN SOME VARIATIONAL-INEQUALITIES [J].

MIGNOT, F ;

PUEL, JP .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1984, 22 (03) :466-476

[15] CONTROL IN ELLIPTIC VARIATIONAL INEQUALITIES [J].

MIGNOT, F .

JOURNAL OF FUNCTIONAL ANALYSIS, 1976, 22 (02) :130-185

[16] Optimal control of the obstacle in a quasilinear elliptic variational inequality [J].

Ye, YQ ;

Chen, Q .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (01) :258-272

← 1 2 →