Abstract
In this article, we discuss the limit behaviour of optimal control problems governed by parabolic boundary value problems with equivalued surface. Furthermore, the boundary with equivalued surface is a “hole” which is on the boundary of a bounded domain. The limit behaviour of optimal control problems was proved when the “hole” shrinks to a point.
Acknowledgement
This project is supported by NSFC (No: 10401009) and NCET of China.