@inproceedings{1324d1d58ee64d31b5a00f8ed2bfac01,
title = "Inverse Neumann problem for an equation of elliptic type",
abstract = "Inverse problem for an elliptic differential equation with Neumann conditions is considered. Stability and coercive stability estimates for the solution of inverse problem with the overdetermination are obtained. The first and second order of accuracy difference schemes are presented. Stability and coercive stability inequalities for these difference schemes are given. In application, inverse problem for the multidimensional elliptic equation is studied. The first and second order of accuracy difference schemes for the multidimensional inverse problem are presented. Well-posedness of both difference problems are established. The results are supported by a numerical example for the two-dimensional elliptic equation.",
keywords = "Coercive stability, Difference scheme, Inverse elliptic problem, Overdetermination, Stability",
author = "Charyyar Ashyralyyev",
year = "2014",
doi = "10.1063/1.4893802",
language = "English",
isbn = "9780735412477",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
pages = "46--52",
booktitle = "International Conference on Analysis and Applied Mathematics, ICAAM 2014",
note = "2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014 ; Conference date: 11-09-2014 Through 13-09-2014",
}