Asymptotic Expansion for the Solution of an Optimal Boundary Control Problem in a Doubly Connected Domain with Different Control Intensity on Boundary Segments

被引：1

作者：

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

机构：

[1] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ekaterinburg 620990, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2022年 / 62卷 / 02期

关键词：

singular problems; optimal control; boundary value problems for systems of partial differential equations; asymptotic expansions; ELLIPTIC PROBLEM; 2ND-ORDER;

D O I：

10.1134/S0965542522020063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An optimal boundary control problem for solutions of an elliptic equation in a bounded domain with a smooth boundary is considered. The coefficient multiplying the Laplacian is assumed to be small, and integral constraints are imposed on the control. Its own intensity of control is specified on each of the boundary components. A complete asymptotic expansion in powers of the small parameter is obtained for the solution of the problem.

引用

页码：218 / 231

页数：14

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