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 Vladikavkaz. Mat. Zh., 2016, Volume 18, Number 3, Pages 3–14 (Mi vmj584)

About the determination of unknown coefficients in the linear elliptic equation

R. A. Aliyev

Azerbaijan University of Cooperation, Baku, Azerbaijan

Abstract: Inverse problems of restoration of coefficients to partial differential equations are of interest in many applied researches. In this work an inverse problem for elliptic equation with various boundary values in a given rectangle is considered. The existence, uniqueness and stability of a solution to inversion problems under consideration are proved. Using successive approximation method a regularizing algorithm for determining of coefficients is also constructed.

Key words: inversion problem, elliptic equation.

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UDC: 517.946

Citation: R. A. Aliyev, “About the determination of unknown coefficients in the linear elliptic equation”, Vladikavkaz. Mat. Zh., 18:3 (2016), 3–14

Citation in format AMSBIB
\Bibitem{Ali16} \by R.~A.~Aliyev \paper About the determination of unknown coefficients in the linear elliptic equation \jour Vladikavkaz. Mat. Zh. \yr 2016 \vol 18 \issue 3 \pages 3--14 \mathnet{http://mi.mathnet.ru/vmj584}