Optimal boundary control in a small concave domain

The paper is devoted to investigation of an asymptotics of a solution of the problem of optimal boundary control [1] in a small concave domain. Construction of an asymptotics of a boundary value problem for an elliptic operator in a small concave domain is considered in [2], and an asymptotics of the distributed control in a small concave domain in [3]. The Asymptotics of boundary control for an operator with a small factor at the higher derivative was considered in [4], [5]. Other problems of control by solutions of boundary value problems of the optimal control containing a small parameter are considered in [6], [7].