Optimal control problems for Kirchhoff type equation with a damping term

被引：7

作者：

Hwang, Jin-soo ^{[1
]}

Nakagiri, Shin-ichi

机构：

[1] Univ Ulsan, Dept Math, Ulsan, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 3-4期

关键词：

Optimal control; Kirchhoff type damped wave equation; Gateaux differentiability; Necessary optimality conditions; VISCOSITY; EXISTENCE;

D O I：

10.1016/j.na.2009.09.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimal control problems are studied for the equation of Kirchhoff type with a damping term. The Gateaux differentiability of solution mapping on control variables is proved and the various types of necessary optimality conditions corresponding to the distributive and terminal value observations are established. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1621 / 1631

页数：11

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