The determination of radially dependent conductivity coefficient

The determination of radially dependent conductivity coefficient

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...

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Veröffentlicht in:Applicable analysis 1993-02, Vol.48 (1-4), p.51-62
Hauptverfasser: Fang, Ainong, Lin, Zhongyan
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Sprache:eng
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coefficient
elliptic
Exact sciences and technology
Inverse problem
Mathematical analysis
Mathematics
Partial differential equations
Sciences and techniques of general use
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container_title Applicable analysis
container_volume 48
creator Fang, Ainong
Lin, Zhongyan
description 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.
doi_str_mv 10.1080/00036819308840149
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source Taylor & Francis
subjects coefficient
elliptic
Exact sciences and technology
Inverse problem
Mathematical analysis
Mathematics
Partial differential equations
Sciences and techniques of general use
title The determination of radially dependent conductivity coefficient
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