On optimal boundary control problem for a strongly degenerate elliptic equation

被引：1
|
作者：
Durante, Tiziana [1 ]
Kupenko, Olha P. [2 ,3 ]
Manzo, Rosanna [1 ]
机构：
[1] Univ Salerno, Dipartimento Ingn Informaz & Elettr & Matemat App, Via Giovanni Paolo 2,132, I-84084 Fisciano, SA, Italy
[2] Univ Technol Dnipro Polytech, Dept Syst Anal & Control, Yavornitsky Ave 19, UA-49005 Dnipro, Ukraine
[3] Ihor Sikorsky Natl Tech Univ Ukraine, Kiev Polytech Inst, Inst Appl & Syst Anal, Peremogy Ave 37,Bldg 35, UA-03056 Kiev, Ukraine
来源：
REVISTA MATEMATICA COMPLUTENSE | 2020年 / 33卷 / 01期
关键词：
Strongly degenerate elliptic equation; Boundary control; Hardy-Poincare inequality; Weighted Sobolev spaces; Attainability problem; OPTIMAL L-1-CONTROL; COEFFICIENTS; ATTAINABILITY; HARDY;
D O I：
10.1007/s13163-019-00310-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study an optimal control problem for a linear boundary value problem with strongly degenerate coefficient in the main part of the elliptic operator and with the Neumann boundary control. Given a cost functional, the objective is to provide the well-posedness analysis of the corresponding optimal control problem, prove existence of the optimal solutions and propose the scheme for their approximation.
引用
收藏
页码：63 / 88
页数：26
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