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
2024-01-01

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.
2024
Homogenization, asymptotic analysis, periodic unfolding, locally periodic boundary, optimal control
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12070/61719
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