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

• Published in: Журнал математической физики, анализа, геометрии
• 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
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106806
• 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.

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. Рассмотрена некорректная задача Коши-Неймана для уравнения П...