Header menu link for other important links
X
Semi-linear optimal control problem on a smooth oscillating domain
, A.K. Nandakumaran, R. Prakash
Published in World Scientific Publishing Co. Pte Ltd
2020
Volume: 22
   
Issue: 4
Abstract
We demonstrate the asymptotic analysis of a semi-linear optimal control problem posed on a smooth oscillating boundary domain in the present paper. We have considered a more general oscillating domain than the usual "pillar-type" domains. Consideration of such general domains will be useful in more realistic applications like circular domain with rugose boundary. We study the asymptotic behavior of the problem under consideration using a new generalized periodic unfolding operator. Further, we are studying the homogenization of a non-linear optimal control problem and such non-linear problems are limited in the literature despite the fact that they have enormous real-life applications. Among several other technical difficulties, the absence of a sufficient criteria for the optimal control is one of the most attention-grabbing issues in the current setting. We also obtain corrector results in this paper. © 2020 World Scientific Publishing Company.
About the journal
JournalCommunications in Contemporary Mathematics
PublisherWorld Scientific Publishing Co. Pte Ltd
ISSN02191997