East Asian J. Appl. Math., 9 (2019), pp. 280-294.
Published online: 2019-03
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An inverse problem to recover small inclusions inside a two-layer structure is considered. Integral representations for the solution of two-layer inhomogeneous conductivity problem are derived and asymptotic expansions of a perturbed electrical field are obtained. Moreover, the uniqueness of the recovery of the locations and conductivities of small inclusions is proved.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.030518.210918}, url = {http://global-sci.org/intro/article_detail/eajam/13083.html} }An inverse problem to recover small inclusions inside a two-layer structure is considered. Integral representations for the solution of two-layer inhomogeneous conductivity problem are derived and asymptotic expansions of a perturbed electrical field are obtained. Moreover, the uniqueness of the recovery of the locations and conductivities of small inclusions is proved.