Geodesic
Inverse problem of determination of coefficient in the elliptic equation
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 2, pp. 5-13

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The inverse problem of determination of coefficient in the elliptic equation in a rectangle is considered. Identification problem of unknown denseness of sources and coefficients lead to similar inverse problems. The theorem of uniqueness of the formulated inverse problem is proved using Karleman’s evaluation method. Researches are carried out in a class of continuously differentiable functions derivatives of which satisfy the Holder condition.
Keywords: inverse problem; elliptic equation. 
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     title = {Inverse problem of determination of coefficient in the elliptic equation},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
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     publisher = {mathdoc},
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     number = {2},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2015_7_2_a0/}
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R. A. Aliyev. Inverse problem of determination of coefficient in the elliptic equation. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 2, pp. 5-13. http://geodesic.mathdoc.fr/item/VYURM_2015_7_2_a0/