Dual regularization and Pontryagin's maximum principle in a problem of optimal boundary control for a parabolic equation with nondifferentiable functionals

被引：0

作者：

Sumin, M. I. ^{[1
,2
]}

机构：

[1] NI Lobachevski State Univ Nizhni Novgorod, Phys Mat Sci, Nizhnii Novgorod, Russia

[2] NI Lobachevski State Univ Nizhni Novgorod, Nizhnii Novgorod, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2011年 / 17卷 / 01期

关键词：

duality; regularization; optimal boundary control; nondifferentiable functional; maximum principle;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A problem of optimal boundary control is considered for a divergent linear parabolic equation. Equality constraints of the problem are given by nondifferentiable functionals. A dual regularization algorithm stable to errors in initial data is constructed for solving the problem. Pontryagin's maximum principle plays the key role in this algorithm.

引用

页码：229 / 244

页数：16

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