Asymptotics of a Solution to an Optimal Boundary Control Problem

被引：8

作者：

Danilin, A. R. ^{[1
]}

Zorin, A. P. ^{[2
]}

机构：

[1] Russian Acad Sci, Ural Div, Inst Math & Mech, Ul S Kovalevskoi 16, Ekaterinburg 620990, Russia

[2] Ural State Pedag Univ, Pr Kosmonavtov 26, Ekaterinburg 620017, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2010年 / 269卷

基金：

俄罗斯基础研究基金会;

关键词：

singular problems; optimal control; boundary-value problems for systems of partial differential equations; asymptotic expansions;

D O I：

10.1134/S0081543810060088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A problem of optimal boundary control of solutions to an elliptic-type equation with a small coefficient at the highest derivative and integral constraints on the control is considered. Asymptotic estimates for solutions to a problem that approximates the original problem are obtained.

引用

页码：S81 / S94

页数：14