Indian Institute of Information Technology Lucknow
Chak Ganjaria, C. G. City
Lucknow, Uttar Pradesh 226002, India
email: indira.mishra1@gmail.com, indira@iiitl.ac.in
Indira Mishra
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
DOI: https://doi.org/10.58997/ejde.2022.12
Show me the PDF file (494 KB), TEX file for this article.
|
Indira Mishra Indian Institute of Information Technology Lucknow Chak Ganjaria, C. G. City Lucknow, Uttar Pradesh 226002, India email: indira.mishra1@gmail.com, indira@iiitl.ac.in |
|---|
Return to the EJDE web page