Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation

In the paper, the ill-posed Cauchy-Neumann problem is considered for the Poisson equation. The problem is reduced to the optimal control problem that is regularized. Optimization methods are applied to the solution of the obtained problem.

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Bibliographic Details
Date:2014
Main Authors: Guliyev, H.F., Gasimov, Y.S., Zeynalli, S.M.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106806
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation / H.F. Guliyev, Y.S. Gasimov, S.M. Zeynalli // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 4. — С. 412-421. — Бібліогр.: 12 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine