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Sbornik: Mathematics, 2000, Volume 191, Issue 10, Pages 1421–1431
DOI: https://doi.org/10.1070/sm2000v191n10ABEH000512 (Mi sm512) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Approximation of a singularly perturbed elliptic problem of optimal control

A. R. Danilin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
English version PDF (153 kB) Citations (18) Russian version article
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DOI: https://doi.org/10.1070/sm2000v191n10ABEH000512
Abstract: A problem of optimal control of solutions of an elliptic equation with a small parameter at higher derivatives is considered in a rectangle with two sides parallel to the characteristic of the limit equation. The limit problem is found and asymptotic estimates for solutions of a problem that approximates the original problem are obtained.
Received: 31.05.1999 and 30.12.1999
Bibliographic databases:
UDC: 517.977
MSC: Primary 49K20, 35B37, 93C20; Secondary 35B25, 35C20, 49J20, 93C73
Language: English
Original paper language: Russian
Citation: A. R. Danilin, “Approximation of a singularly perturbed elliptic problem of optimal control”, Sb. Math., 191:10 (2000), 1421–1431
Citation in format AMSBIB
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\by A.~R.~Danilin
\paper Approximation of a~singularly perturbed elliptic problem of optimal control
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\yr 2000
\vol 191
\issue 10
\pages 1421--1431
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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