A. R. Danilin, A. P. Zorin, “Asymptotics of a solution to an optimal boundary control problem in a bounded domain”, Trudy Inst. Mat. i Mekh. UrO RAN, 2012, Volume 18, Number 3,Pages <nobr>75

This article is cited in 2 papers

Asymptotics of a solution to an optimal boundary control problem in a bounded domain

A. R. Danilin^ab, A. P. Zorin^c

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Ural Federal University
^c Urals State Pedagogical University

Abstract: A problem of optimal boundary control of solutions of an elliptic-type equation with a small coefficient at the Laplace operator and integral constraints on the control in a bounded domain with smooth boundary is considered. A complete asymptotic expansion of the solution of this problem in powers of the small parameter is obtained.

Keywords: singular problems, optimal control, boundary value problems for systems of partial differential equations, asymptotic expansions.

UDC: 517.977

Received: 14.01.2012