Geodesic
About the determination of unknown coefficients in the linear elliptic equation
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 3, pp. 3-14

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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. 
@article{VMJ_2016_18_3_a0,
     author = {R. A. Aliyev},
     title = {About the determination of unknown coefficients in the linear elliptic equation},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
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     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2016_18_3_a0/}
}
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R. A. Aliyev. About the determination of unknown coefficients in the linear elliptic equation. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 3, pp. 3-14. http://geodesic.mathdoc.fr/item/VMJ_2016_18_3_a0/