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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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 |
id | doaj-art-39be177617d342388616bb0866878510 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT adabbaghian aninteriorinverseproblemforthediffusionoperator AT hjafari aninteriorinverseproblemforthediffusionoperator AT nyosofi aninteriorinverseproblemforthediffusionoperator AT adabbaghian interiorinverseproblemforthediffusionoperator AT hjafari interiorinverseproblemforthediffusionoperator AT nyosofi interiorinverseproblemforthediffusionoperator |