On homogenization of a mixed boundary optimal control problem. (Q621528)

Subject of the study is asymptotic behaviour of an optimal control problem for the Ukawa equation in a thick multi-structure with different types and classes of admissible boundary controls. This thick multi-structure consists of a domain (the junction's body) and a large number of \(\varepsilon \)-periodically situated thin cylinders. Dirichlet and Neumann boundary controls are considered. Asymptotic analysis is tackled. There are derived the conditions, under which the homogenized problem can be recovered in the explicit form.