Geodesic
Solution asymptotics in a problem of optimal boundary control of a flow through a part of the boundary
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 116-127 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a problem of optimal control through a part of the boundary of solutions to an elliptic equation in a bounded domain with smooth boundary with a small parameter at the Laplace operator and integral constraints on the control. A complete asymptotic expansion of the solution to this problems in powers of the small parameter is constructed.
Keywords: singular problems, optimal control, boundary value problems for systems of partial differential equations, asymptotic expansions. 
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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. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 116-127. http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a10/

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