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
Format:	Artikel
Sprache:	eng
Schlagworte:	coefficient elliptic Exact sciences and technology Inverse problem Mathematical analysis Mathematics Partial differential equations Sciences and techniques of general use
Online-Zugang:	Volltext
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Zusammenfassung:	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.
ISSN:	0003-6811 1563-504X
DOI:	10.1080/00036819308840149