PARABOLIC CONTROL PROBLEMS IN SPACE-TIME MEASURE SPACES

被引：28

作者：

Casas, Eduardo ^{[1
]}

Kunisch, Karl ^{[2
,3
]}

机构：

[1] Univ Cantabria, Dept Matemat Aplicada & Ciencias Comp, ETSI Ind & Telecomunicac, E-39005 Santander, Spain

[2] Graz Univ, Inst Math & Sci Comp, Heinrichstr 36, A-8010 Graz, Austria

[3] Austrian Acad Sci, Radon Inst, 69 Alterberger Str, A-4040 Linz, Austria

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2016年 / 22卷 / 02期

基金：

奥地利科学基金会;

关键词：

Space-time measure controls; optimal control; sparsity; parabolic equations; first order optimality conditions; numerical approximation; ELLIPTIC CONTROL-PROBLEMS; DIRECTIONAL SPARSITY;

D O I：

10.1051/cocv/2015008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Optimal control problems in measure spaces governed by parabolic equations with are considered. The controls appear as spatial measure in the initial condition and as space-time measures as forcing functions. First order optimality conditions are derived and certain structural properties, in particular sparsity, are discussed. An framework for approximation if these highly irregular problems is also proposed.

引用

页码：355 / 370

页数：16

共 21 条

[1] NON-LINEAR ELLIPTIC AND PARABOLIC EQUATIONS INVOLVING MEASURE DATA [J].