Geodesic
Asymptotic expansion of a solution to the problem of optimal control of a bounded flow at a boundary
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 115-120 Cet article a éte moissonné depuis la source Math-Net.Ru

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A problem of optimal control of solutions to an elliptic-type equation with a small coefficient at the Laplace operator and integral constraints on the control is considered in a bounded domain with smooth boundary. The control is effected by a bounded flow through the boundary. A complete asymptotic expansion of a solution to this problem in powers of the small parameter is obtained.
Keywords: optimal control, elliptic-type differential equation, asymptotic estimates. 
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A. P. Zorin. Asymptotic expansion of a solution to the problem of optimal control of a bounded flow at a boundary. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 115-120. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a10/

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