About the determination of unknown coefficients in the linear elliptic equation
R. A. Aliyev
Azerbaijan University of Cooperation, Baku, Azerbaijan
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.
inversion problem, elliptic equation.
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R. A. Aliyev, “About the determination of unknown coefficients in the linear elliptic equation”, Vladikavkaz. Mat. Zh., 18:3 (2016), 3–14
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\paper About the determination of unknown coefficients in the linear elliptic equation
\jour Vladikavkaz. Mat. Zh.
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