Optimal control of parabolic variational inequalities

被引：29

作者：

Ito, Kazufumi ^{[1
]}

Kunisch, Karl ^{[2
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

[2] Karl Franzens Univ Graz, Inst Math, A-8010 Graz, Austria

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2010年 / 93卷 / 04期

关键词：

Variational inequalities; Strong solutions; Weak solutions; Unbounded domain; Difference schemes; Optimal control;

D O I：

10.1016/j.matpur.2009.10.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimal control of parabolic variational inequalities is studied in the case where the spatial domain is not necessarily bounded. First, strong and weak solutions concepts for the variational inequality are proposed and existence results are obtained by a monotone and a finite difference technique. An optimal control problem with the control appearing in the coefficient of the leading term is investigated and a first order optimality system in a Lagrangian framework is derived. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：329 / 360

页数：32

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