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The determination of radially dependent conductivity coefficient
Authors:Ainong Fang  Zhongyan Lin
Affiliation:Department of Mathematics , Hunan University , Changsha, Hunan, 410082, P.R.China
Abstract:In this paper we discuss the question of identifying the radially dependent coefficient a(r) in the elliptic equation div(a(r) ▽u)=0 in the unit disk by Dirichlet and Neumann data.We establish a condition to guarantee the uniqueness of this determination. One of the applications of this study is the determination of the radially dependent conductivity coefficient of layered medium.
Keywords:Inverse problem  elliptic  coefficient
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