Geodesic
Asymptotics of a~solution to an optimal boundary control problem
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 4, pp. 95-107

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A problem of optimal boundary control of solutions of an elliptic-type equation with a small coefficient at the highest derivative and integral restrictions on the control is considered. Asymptotic estimates for solutions of a problem that approximates the original problem are 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},
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A. R. Danilin; A. P. Zorin. Asymptotics of a~solution to an optimal boundary control problem. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 4, pp. 95-107. http://geodesic.mathdoc.fr/item/TIMM_2009_15_4_a8/