We study the asymptotic behaviour of a linear optimal control problem posed on a locally periodic rapidly oscillating domain. We consider an (Formula presented.) -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.
Optimal control problem stated in a locally periodic rough domain: a homogenization study / Aiyappan, S.; Cardone, G.; Perugia, C.. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - 103:10(2024), pp. 1757-1768. [10.1080/00036811.2023.2265967]
Optimal control problem stated in a locally periodic rough domain: a homogenization study
Cardone G.
Membro del Collaboration Group
;Perugia C.Membro del Collaboration Group
2024
Abstract
We study the asymptotic behaviour of a linear optimal control problem posed on a locally periodic rapidly oscillating domain. We consider an (Formula presented.) -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.| File | Dimensione | Formato | |
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