This article is cited in 5 scientific papers (total in 5 papers)
Optimal boundary control in a small concave domain
A. R. Danilinab
a Ural Federal University, Ekaterinburg, Russia
b Institute of Mathematics of the Ural Branch of RAS, Ekaterinburg, Russia
The paper is devoted to investigation of an asymptotics of a solution of the problem of optimal boundary control  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 , and an asymptotics of the distributed control in a small concave domain in . The Asymptotics of boundary control for an operator with a small factor at the higher derivative was considered in , . Other problems of control by solutions of boundary value problems of the optimal control containing a small parameter are considered in , .
asymptotic, boundary control, matching method, boundary value problems, sestems of equations in partial derivatives.
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A. R. Danilin, “Optimal boundary control in a small concave domain”, Ufimsk. Mat. Zh., 4:2 (2012), 87–100
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\paper Optimal boundary control in a~small concave domain
\jour Ufimsk. Mat. Zh.
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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
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, “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
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