Geodesic
Finding the coefficients of a~linear elliptic equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 2, pp. 17-28

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We study the inverse problems of finding the coefficients of a linear elliptic equation for various boundary conditions in a prescribed rectangle. Existence, uniqueness, and stability theorems are proved for solutions to the inverse problems for the particular statements studied in the paper. An iterative method is employed to construct a regularization algorithm for solving the inverse problems.
Keywords: inversion problem
Mots-clés : elliptic equation. 
@article{SJIM_2016_19_2_a1,
     author = {R. A. Aliev},
     title = {Finding the coefficients of a~linear elliptic equation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {17--28},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2016_19_2_a1/}
}
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R. A. Aliev. Finding the coefficients of a~linear elliptic equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 2, pp. 17-28. http://geodesic.mathdoc.fr/item/SJIM_2016_19_2_a1/