On an approach to solving problems of optimal control of elliptic systems in domains of an arbitrary shape

We use the method of dummy domains to solve the problem of optimal control for elliptic systems in domains that have an arbitrary shape. An estimate of the convergence rate in the norms W₂ ¹ and L₂ is obtained. Bibliography: 4 titles. Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 81, 1997, pp. 72–78.