Homogenization of boundary optimal control problem

[摘要] In this article, we study the asymptotic behavior of solutions to some optimal control problems, governed by an elliptic boundary value problem with Robin boundary conditions in a periodically perforated domain. The coefficients of the differential operator in the state equation and in the cost-functional are rapidly oscillating. We also study the boundary homogenization of some optimal control problems.

[学科分类] 数学（综合）

[关键词] Homogenization;optimal control;periodic unfolding method;elliptic problems;boundary control