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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2009 Volume 15, Number 4, Pages 95–107 (Mi timm429)

This article is cited in 12 papers

Asymptotics of a solution to an optimal boundary control problem

A. R. Danilina, A. P. Zorinb

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

Abstract: A problem of optimal boundary control of solutions of an elliptic-type equation with a small coefficient at the highest derivative and integral restrictions on the control is considered. Asymptotic estimates for solutions of a problem that approximates the original problem are obtained.

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

UDC: 517.977

Received: 08.05.2009


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2010, 269, suppl. 1, S81–S94

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