Asymptotics of the Solution in a Problem of Optimal Boundary Control of a Flow through a Part of the Boundary / Danilin A. R. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2016. - V. 292, l. 1. - P. S55-S66.

ISSN/EISSN:
0081-5438 / 1531-8605
Type:
Article
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.
Author keywords:
singular problems; optimal control; boundary value problems for systems of partial differential equations; asymptotic expansions ELLIPTIC PROBLEM
DOI:
10.1134/S008154381602005X
Web of Science ID:
ISI:000376272600005
Соавторы в МНС:
Другие поля
Поле Значение
Month APR
Publisher MAIK NAUKA/INTERPERIODICA/SPRINGER
Address 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language English
EISSN 1531-8605
Keywords-Plus ELLIPTIC PROBLEM
Research-Areas Mathematics
Web-of-Science-Categories Mathematics, Applied; Mathematics
Author-Email dar@imm.uran.ru
ORCID-Numbers Danilin, Aleksei Rufimovich/0000-0002-8711-2026
Funding-Acknowledgement Russian Foundation for Basic Research {[}14-01-00322, 13-01-00090]; Program for Fundamental Research of the Presidium of the Russian Academy of Sciences ``Fundamental Problems of Nonlinear Dynamics in Mathematical and Physical Sciences{''}; Ural Branch of the Russian Academy of Sciences {[}12-P-1-1009]
Funding-Text This work was partially supported by the Russian Foundation for Basic Research (project nos. 14-01-00322 and 13-01-00090) and by the Program for Fundamental Research of the Presidium of the Russian Academy of Sciences ``Fundamental Problems of Nonlinear Dynamics in Mathematical and Physical Sciences{''} (with financial support of the Ural Branch of the Russian Academy of Sciences, project no. 12-P-1-1009).
Number-of-Cited-References 12
Journal-ISO Proc. Steklov Inst. Math.
Doc-Delivery-Number DM3UQ