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Applicable Analysis
An International Journal
Volume 103, 2024 - Issue 10
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Research Article

Optimal control problem stated in a locally periodic rough domain: a homogenization study

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Pages 1757-1768 | Received 15 Jul 2023, Accepted 27 Sep 2023, Published online: 06 Oct 2023
 

Abstract

We study the asymptotic behaviour of a linear optimal control problem posed on a locally periodic rapidly oscillating domain. We consider an L2-cost functional constrained by a Poisson problem having a mixed boundary condition: we assume a homogeneous Neumann condition on the oscillating part of the boundary and a homogeneous Dirichlet condition on the remaining part.

2000 Mathematics Subject Classifications:

Acknowledgements

The research by G.C. and C.P was supported by project GNAMPA (INDAM) 2023 “Analisi asintotica di problemi al contorno in strutture sottili o rugose”.

Disclosure statement

No potential conflict of interest was reported by the author(s).

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