We study the asymptotic behavior 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.
Optimal control problem stated in a locally-periodic rough domain: a homogenization study
GIUSEPPE CARDONE
;CARMEN PERUGIA
2023-01-01
Abstract
We study the asymptotic behavior 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.File in questo prodotto:
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