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Tambov University Reports. Series: Natural and Technical Sciences, 2017, Volume 22, Issue 6, Pages 1261–1267
DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1261-1267 (Mi vtamu127) 		 
MATHEMATICS

On one inverse problem of sources density distribution reconstruction in a mixed boundary value problem for the Poisson equation

A. V. Gerasimova, E. B. Laneev, M. N. Muratov, E. Yu. Ponomarenko, V. V. Surovtsev

RUDN University
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DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1261-1267
Abstract: An inverse problem with mixed boundary value conditions for the Poisson equation for bodies of constant thickness is considered, aiming to reconstruct the sources density distribution. A stable solution of the problem is obtained.
Keywords: ill-posed problem, inverse problem of the potential, the Sretenskiy class of bodies, method of Tikhonov regularization.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05134
Инициативный проект РУДН 033801-0-000
The present research is supported by the Russian Fund for Basic Research (project № 15-01-05134) and initiative project RUDN University № 033801-0-000.
Received: 10.09.2017
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. V. Gerasimova, E. B. Laneev, M. N. Muratov, E. Yu. Ponomarenko, V. V. Surovtsev, “On one inverse problem of sources density distribution reconstruction in a mixed boundary value problem for the Poisson equation”, Tambov University Reports. Series: Natural and Technical Sciences, 22:6 (2017), 1261–1267
Citation in format AMSBIB
\Bibitem{GerLanMur17}
\by A.~V.~Gerasimova, E.~B.~Laneev, M.~N.~Muratov, E.~Yu.~Ponomarenko, V.~V.~Surovtsev
\paper On one inverse problem of sources density distribution reconstruction in a mixed boundary value problem for the Poisson equation
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2017
\vol 22
\issue 6
\pages 1261--1267
\mathnet{http://mi.mathnet.ru/vtamu127}
\crossref{https://doi.org/10.20310/1810-0198-2017-22-6-1261-1267}
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