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.
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页码：229 / 244
页数：16
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