An Interior Inverse Problem for the Diffusion Operator

An inverse problem for the diffusion operator on a finite interval with discontinuities conditions inside the interval is studied. We have shown that the potential function of the diffusion operator can be established uniquely by a set of values of eigenfunctions at the midpoint of the interval and...

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Main Authors: A. Dabbaghian, H. Jafari, N. Yosofi
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/320456
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author A. Dabbaghian
H. Jafari
N. Yosofi
author_facet A. Dabbaghian
H. Jafari
N. Yosofi
author_sort A. Dabbaghian
collection DOAJ
description An inverse problem for the diffusion operator on a finite interval with discontinuities conditions inside the interval is studied. We have shown that the potential function of the diffusion operator can be established uniquely by a set of values of eigenfunctions at the midpoint of the interval and one spectrum.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-39be177617d342388616bb08668785102025-02-03T05:46:39ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/320456320456An Interior Inverse Problem for the Diffusion OperatorA. Dabbaghian0H. Jafari1N. Yosofi2Islamic Azad University, Neka Branch, P.O. Box 48411-86114, Neka, IranDepartment of Mathematics, University of Mazandaran, P.O. Box 47416-95447, Babolsar, IranDepartment of Mathematics, Islamic Azad University, Sari Branch, Sari, IranAn inverse problem for the diffusion operator on a finite interval with discontinuities conditions inside the interval is studied. We have shown that the potential function of the diffusion operator can be established uniquely by a set of values of eigenfunctions at the midpoint of the interval and one spectrum.http://dx.doi.org/10.1155/2013/320456
spellingShingle A. Dabbaghian
H. Jafari
N. Yosofi
An Interior Inverse Problem for the Diffusion Operator
Abstract and Applied Analysis
title An Interior Inverse Problem for the Diffusion Operator
title_full An Interior Inverse Problem for the Diffusion Operator
title_fullStr An Interior Inverse Problem for the Diffusion Operator
title_full_unstemmed An Interior Inverse Problem for the Diffusion Operator
title_short An Interior Inverse Problem for the Diffusion Operator
title_sort interior inverse problem for the diffusion operator
url http://dx.doi.org/10.1155/2013/320456
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