Geodesic
Asymptotics of a~solution to an optimal boundary control problem in a~bounded domain
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 75-82

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A problem of optimal boundary control of solutions of an elliptic-type equation with a small coefficient at the Laplace operator and integral constraints on the control in a bounded domain with smooth boundary is considered. A complete asymptotic expansion of the solution of this problem in powers of the small parameter is obtained.
Keywords: singular problems, optimal control, boundary value problems for systems of partial differential equations, asymptotic expansions. 
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     author = {A. R. Danilin and A. P. Zorin},
     title = {Asymptotics of a~solution to an optimal boundary control problem in a~bounded domain},
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A. R. Danilin; A. P. Zorin. Asymptotics of a~solution to an optimal boundary control problem in a~bounded domain. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 75-82. http://geodesic.mathdoc.fr/item/TIMM_2012_18_3_a8/