This article is cited in 3 papers

On optimal recovery of Dirichlet problem from a boundary function known approximately

E. V. Abramova

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University), Moscow, Russia

Abstract: The problem of best (optimal) recovery of a solution of the Dirichlet problem for the upper half-plane from the Fourier transform of the boundary functions known approximately in considered. A series of optimal recovery methods are found and the corresponding errors recovery are calculated.

Key words: оptimal recovery, extremal problem, Dirichlet's problem, Fourier transform.

UDC: 517.9

Received: 02.09.2014