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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 949703, 9 pages
Research Article

Conditional Optimization and One Inverse Boundary Value Problem

Physics Institute, Kazan Federal University, Kremlyovskaya Street 18, Kazan 420008, Russia

Received 20 April 2015; Accepted 23 June 2015

Academic Editor: Debasish Roy

Copyright © 2015 Pyotr N. Ivanshin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Here we construct different approximate solutions of the plane inverse boundary value problem of aerohydrodynamics. In order to do this we solve some conditional optimization problems in the norms , , and  and some of their generalizations. We present the example clarifying the mathematical constructions and show that the supremum norm generalization seems to be the optimal one of all the functionals considered in the paper.