Optimal control governed by a semilinear elliptic differential equation

被引：4

作者：

Wang, GS ^{[1
]}

Zhao, YC

Li, WD

机构：

[1] Huazhong Normal Univ, Dept Math, Wuhan 430079, Hubei, Peoples R China

[2] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

[3] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 44卷 / 07期

关键词：

Pontryagin's maximum principle; semilinear elliptic equations; minimal positive solution; control; state constraint;

D O I：

10.1016/S0362-546X(99)00319-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The optimal control problem governed by a semilinear elliptic differential state equation is studied. The controlled system is not governed by a monotone operator and the control entered nonlinearity. To get Pontryagin's maximum principle, the Ekeland's variational principle and a method based on penalization of state constraints are used.

引用

页码：957 / 974

页数：18

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