Optimal control problems governed by some semilinear parabolic equations

被引：17

作者：

Ryu, SU ^{[1
]}

机构：

[1] Cheju Natl Univ, Dept Math, Jeju 690756, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 56卷 / 02期

关键词：

optimal control; Keller-Segel equations; optimality conditions; uniqueness;

D O I：

10.1016/j.na.2003.09.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the optimal control problem for the Keller-Segel equations. That is, as a generalization of Ryu and Yagi (J. Math. Anal. Appl. 256 (2001) 45-66) we derive the optimality conditions for the optimal control problem governed by a semilinear abstract equation of nonmonotone type. Moreover, we prove the uniqueness of the optimal control under some conditions. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：241 / 252

页数：12

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