Conditional Optimization and One Inverse Boundary Value Problem. (2nd July 2015)

• Record Type: Journal Article
• Authors: Ivanshin, Pyotr N.
• Other Names: Roy Debasish Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-07-02
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/949703
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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∥ · ∥ 2, ∥ · ∥ ∞, and ∥ · ∥ 1 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.