Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 12, pp. 1-23.

Title: Homogenization of boundary optimal control problem
       
Author: Indira Mishra (Indian Inst. of Information Tech. Lucknow, Uttar Pradesh, India)

Abstract:     
In this article, we study the asymptotic behavior of  solutions to some optimal
control problems, governed by an elliptic boundary value problem with Robin boundary
conditions in a periodically perforated domain.
The coefficients of the differential operator in the state equation and in the
cost-functional are rapidly oscillating.
We also study the boundary homogenization of some optimal control problems.

Submitted June 21, 2021. Published February 17, 2022.
Math Subject Classifications: 35B27, 35J20, 35J56, 35Q93, 49J20.
Key Words: Homogenization; optimal control; periodic unfolding method; elliptic problems; boundary control