Email this article Asymptotics of the solution in a problem of optimal boundary control of a flow through a part of the boundary
- Authors: Danilin A.R.1,2
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Affiliations:
- Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 292, No Suppl 1 (2016)
- Pages: 55-66
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173287
- DOI: https://doi.org/10.1134/S008154381602005X
- ID: 173287
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Abstract
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.
About the authors
A. R. Danilin
Institute of Mathematics and Mechanics; Ural Federal University
Author for correspondence.
Email: dar@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002
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