Approximation of a singularly perturbed elliptic problem of optimal control

被引：12
作者：
Danilin, AR [1 ]
机构：
[1] Russian Acad Sci, Inst Math & Mech, Ural Div, Moscow 117901, Russia
来源：
SBORNIK MATHEMATICS | 2000年 / 191卷 / 9-10期
关键词：
D O I：
10.1070/SM2000v191n10ABEH000512
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A problem of optimal control of solutions of an elliptic equation with a small parameter at higher derivatives is considered in a rectangle with two sides parallel to the characteristic of the limit equation. The limit problem is found and asymptotic estimates for solutions of a problem that approximates the original problem are obtained.
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页码：1421 / 1431
页数：11
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