Asymptotics of the solution in a problem of optimal boundary control of a flow through a part of the boundary


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Resumo

We consider a problem of optimal control through a part of the boundary of solutions to an elliptic equation in a bounded domain with smooth boundary with a small parameter at the Laplace operator and integral constraints on the control. A complete asymptotic expansion of the solution to this problems in powers of the small parameter is constructed.

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A. Danilin

Institute of Mathematics and Mechanics; Ural Federal University

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Email: dar@imm.uran.ru
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