A. R. Danilin, “Optimal boundary control in a small concave domain”, Ufa Math. J., 4:2 (2012)

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Ufimskii Matematicheskii Zhurnal, 2012, Volume 4, Issue 2, Pages 87–100 (Mi ufa150)

This article is cited in 9 scientific papers (total in 9 papers)

Optimal boundary control in a small concave domain

A. R. Danilin^ab

^a Ural Federal University, Ekaterinburg, Russia
^b Institute of Mathematics of the Ural Branch of RAS, Ekaterinburg, Russia

Full-text PDF (233 kB) Citations (9)

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Abstract: The paper is devoted to investigation of an asymptotics of a solution of the problem of optimal boundary control [1] in a small concave domain. Construction of an asymptotics of a boundary value problem for an elliptic operator in a small concave domain is considered in [2], and an asymptotics of the distributed control in a small concave domain in [3]. The Asymptotics of boundary control for an operator with a small factor at the higher derivative was considered in [4], [5]. Other problems of control by solutions of boundary value problems of the optimal control containing a small parameter are considered in [6], [7].

Keywords: asymptotic, boundary control, matching method, boundary value problems, sestems of equations in partial derivatives.

Received: 15.04.2012

Document Type: Article

UDC: 517.9

Language: Russian

Citation: A. R. Danilin, “Optimal boundary control in a small concave domain”, Ufa Math. J., 4:2 (2012)

Citation in format AMSBIB

\Bibitem{Dan12}

\by A.~R.~Danilin

\paper Optimal boundary control in a~small concave domain

\jour Ufa Math. J.

\yr 2012

\vol 4

\issue 2

\mathnet{http://mi.mathnet.ru/eng/ufa150}

Linking options:

https://www.mathnet.ru/eng/ufa150

https://www.mathnet.ru/eng/ufa/v4/i2/p87

This publication is cited in the following 9 articles:

A. R. Danilin, “Asymptotics for solutions of problem on optimally distributed control in convex domain with small parameter at one of higher derivatives”, Ufa Math. J., 15:2 (2023), 42–54
A. R. Danilin, “Asimptotika resheniya zadachi optimalnogo granichnogo upravleniya s dvumya malymi sopodchinennymi parametrami. II”, Tr. IMM UrO RAN, 27, no. 2, 2021, 108–119
A. R. Danilin, “Asimptotika resheniya zadachi optimalnogo granichnogo upravleniya s dvumya malymi sopodchinennymi parametrami”, Tr. IMM UrO RAN, 26, no. 1, 2020, 102–111
Danilin A.R., “Asymptotics of the Solution of a Singular Optimal Distributed Control Problem With Essential Constraints in a Convex Domain”, Differ. Equ., 56:2 (2020), 251–263
A. R. Danilin, “Asimptoticheskoe razlozhenie resheniya singulyarno vozmuschennoi zadachi optimalnogo upravleniya s malym koeffitsientom koertsitivnosti”, Tr. IMM UrO RAN, 24, no. 3, 2018, 51–61
A. R. Danilin, “Asymptotics of the solution of a bisingular optimal boundary control problem in a bounded domain”, Comput. Math. Math. Phys., 58:11 (2018), 1737–1747
A. R. Danilin, “Asymptotics of the solution to the singular problem of optimal distributed control in a convex domain”, Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 72–87
A. R. Danilin, S. V. Zakharov, O. O. Kovrizhnykh, E. F. Lelikova, I. V. Pershin, O. Yu. Khachai, “Ekaterinburgskoe nasledie Arlena Mikhailovicha Ilina”, Tr. IMM UrO RAN, 23, no. 2, 2017, 42–66
A. R. Danilin, “Solution asymptotics in a problem of optimal boundary control of a flow through a part of the boundary”, Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 55–66

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	486
Full-text PDF :	142
References:	100
First page:	2

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