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Finding the coefficients of a linear elliptic equation. (Russian, English) Zbl 1349.35421

Sib. Zh. Ind. Mat. 19, No. 2, 17-28 (2016); translation in J. Appl. Ind. Math. 10, No. 2, 168-178 (2016).
Summary: We study the inverse problems of finding the coefficients of a linear elliptic equation for various boundary conditions in a prescribed rectangle. The existence, uniqueness, and stability theorems are proved for solutions to the inverse problems for the particular statements under study in the paper. An iterative method is employed to construct a regularization algorithm for solving the inverse problems.

MSC:

35R30 Inverse problems for PDEs
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