Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2014, Volume 10, Number 4, Pages 412–421
DOI: https://doi.org/10.15407/mag10.04.412 (Mi jmag602) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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

H. F. Guliyeva, Y. S. Gasimova, S. M. Zeynallib

a Institute of Applied Mathematics Baku State University, 23 Zahid Khalilov Str., Baku AZ1148, Azerbaijan
b Ganja State University, 187 Heydar Aliyev Ave., Ganja, AZ2000, Azerbaijan
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DOI: https://doi.org/10.15407/mag10.04.412
Abstract: 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.
Key words and phrases: Ill-posed problem, Cauchy–Neumann problem, optimal control method, Poisson equation.
Received: 27.09.2013
Bibliographic databases:
Document Type: Article
MSC: Primary 35J05, 35J25; Secondary 49J20, 49K20
Language: English
Citation: H. F. Guliyev, Y. S. Gasimov, S. M. Zeynalli, “Optimal Control Method for Solving the Cauchy–Neumann Problem for the Poisson Equation”, Zh. Mat. Fiz. Anal. Geom., 10:4 (2014), 412–421
Citation in format AMSBIB
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\by H.~F.~Guliyev, Y.~S.~Gasimov, S.~M.~Zeynalli
\paper Optimal Control Method for Solving the Cauchy--Neumann Problem for the Poisson Equation
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2014
\vol 10
\issue 4
\pages 412--421
\mathnet{http://mi.mathnet.ru/jmag602}
\crossref{https://doi.org/10.15407/mag10.04.412}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3309795}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000346136000002}
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