Optimal Control and “Strange” Term Arising from Homogenization of the Poisson Equation in the Perforated Domain with the Robin-type Boundary Condition in the Critical Case

The present paper is devoted to the study of the asymptotic behavior of the optimal control for the boundary value problem in an ε-periodically perforated domain with linear Robin-type boundary condition, when the period of the structure tends to zero, and the problem parameters, diameter of perfora...

Full description

Saved in:
Bibliographic Details
Published in:Doklady. Mathematics 2020-11, Vol.102 (3), p.497-501
Main Authors: Podolskiy, A. V., Shaposhnikova, T. A.
Format: Article
Language:English
Subjects:
Asymptotic properties
Boundary conditions
Boundary value problems
Domains
Mathematics
Mathematics and Statistics
Optimal control
Perforation
Poisson equation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The present paper is devoted to the study of the asymptotic behavior of the optimal control for the boundary value problem in an ε-periodically perforated domain with linear Robin-type boundary condition, when the period of the structure tends to zero, and the problem parameters, diameter of perforations and adsorption coefficient, take critical values.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562420060253