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
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| Indira Mishra |
Indian Institute of Information Technology Lucknow
Chak Ganjaria, C. G. City
Lucknow, Uttar Pradesh 226002, India
email: firstname.lastname@example.org, email@example.com
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