Optimal control problem stated in a locally periodic rough domain: a homogenization study

被引：0

作者：

Aiyappan, S. ^{[1
]}

Cardone, Giuseppe ^{[2
]}

Perugia, Carmen ^{[3
]}

机构：

[1] Indian Inst Technol Hyderabad, Dept Math, Hyderabad, India

[2] Univ Napoli Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, Naples, Italy

[3] Univ Sannio, Dipartimento Sci & Tecnol, Benevento, Italy

来源：

APPLICABLE ANALYSIS | 2024年 / 103卷 / 10期

关键词：

Homogenization; asymptotic analysis; periodic unfolding; locally periodic boundary; optimal control; UNFOLDING OPERATOR; BOUNDARY; JUNCTION;

D O I：

10.1080/00036811.2023.2265967

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behaviour of a linear optimal control problem posed on a locally periodic rapidly oscillating domain. We consider an L2-cost functional constrained by a Poisson problem having a mixed boundary condition: we assume a homogeneous Neumann condition on the oscillating part of the boundary and a homogeneous Dirichlet condition on the remaining part.

引用

页码：1757 / 1768

页数：12

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