Homogenization of boundary optimal control problem

Date

2022-02-17

Authors

Mishra, Indira

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Volume Title

Publisher

Texas State University, Department of Mathematics

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.

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Keywords

Homogenization, Optimal control, Periodic unfolding method, Elliptic problems, Boundary control

Citation

Mishra, I. (2022). Homogenization of boundary optimal control problem. <i>Electronic Journal of Differential Equations, 2022</i>(12), pp. 1-23.

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Attribution 4.0 International

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