SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL EQUATION METHODS
In this paper, a nonlinear inverse problem of parabolic type, is considered. By reducing this inverse problem to a system of Volterra integral equations the existence, uniqueness, and stability of the solution will be shown.
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| Format: | Article |
|---|---|
| Language: | English |
| Published: |
University of Tehran
2000-12-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31830_64c5975509c233bdff4ab73853ec122f.pdf |
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| _version_ | 1850152932704518144 |
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| collection | DOAJ |
| description | In this paper, a nonlinear inverse problem of parabolic type, is considered. By reducing this inverse problem to a system of Volterra integral equations the existence, uniqueness, and stability of the solution will be shown. |
| format | Article |
| id | doaj-art-9aa4aa3a152344a1848e680d7c1ddbb5 |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2000-12-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-9aa4aa3a152344a1848e680d7c1ddbb52025-08-20T02:25:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142000-12-0111431830SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL EQUATION METHODSIn this paper, a nonlinear inverse problem of parabolic type, is considered. By reducing this inverse problem to a system of Volterra integral equations the existence, uniqueness, and stability of the solution will be shown.https://jsciences.ut.ac.ir/article_31830_64c5975509c233bdff4ab73853ec122f.pdf |
| spellingShingle | SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN
SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL
EQUATION METHODS Journal of Sciences, Islamic Republic of Iran |
| title | SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN
SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL
EQUATION METHODS |
| title_full | SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN
SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL
EQUATION METHODS |
| title_fullStr | SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN
SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL
EQUATION METHODS |
| title_full_unstemmed | SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN
SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL
EQUATION METHODS |
| title_short | SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN
SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL
EQUATION METHODS |
| title_sort | solution of an inverse parabolic problem with unknown source function and nonconstant diffusivity via the integral equation methods |
| url | https://jsciences.ut.ac.ir/article_31830_64c5975509c233bdff4ab73853ec122f.pdf |