On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation
Inverse problems on restoration of coefficients to the differential equations with partial derivatives are of interest in many applied researches. These problems lead to necessity of the approached decision of inverse problems for the equations of mathematical physics which are incorrect in classica...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2014-09-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20732/16992 |
| _version_ | 1818059830931226624 |
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| author | Ramiz A Aliyev |
| author_facet | Ramiz A Aliyev |
| author_sort | Ramiz A Aliyev |
| collection | DOAJ |
| description | Inverse problems on restoration of coefficients to the differential equations with partial derivatives are of interest in many applied researches. These problems lead to necessity of the approached decision of inverse problems for the equations of mathematical physics which are incorrect in classical sense. In the article the existence, uniqueness and stability of the solution of the given inversion problem for the elliptic equation are proved. |
| first_indexed | 2024-12-10T13:22:46Z |
| format | Article |
| id | doaj.art-136e6436c16143758465393527def8ab |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:22:46Z |
| publishDate | 2014-09-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-136e6436c16143758465393527def8ab2022-12-22T01:47:16ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812014-09-01183314310.14498/vsgtu133218150On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equationRamiz A Aliyev0Azerbaijan University of CooperationInverse problems on restoration of coefficients to the differential equations with partial derivatives are of interest in many applied researches. These problems lead to necessity of the approached decision of inverse problems for the equations of mathematical physics which are incorrect in classical sense. In the article the existence, uniqueness and stability of the solution of the given inversion problem for the elliptic equation are proved.https://journals.eco-vector.com/1991-8615/article/viewFile/20732/16992inverse problemelliptic equationsuccessive approximations methodexistence and uniqueness of solutions |
| spellingShingle | Ramiz A Aliyev On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki inverse problem elliptic equation successive approximations method existence and uniqueness of solutions |
| title | On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation |
| title_full | On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation |
| title_fullStr | On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation |
| title_full_unstemmed | On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation |
| title_short | On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation |
| title_sort | on the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation |
| topic | inverse problem elliptic equation successive approximations method existence and uniqueness of solutions |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20732/16992 |
| work_keys_str_mv | AT ramizaaliyev onthedeterminationoftheunknowncoefficientsofthehighestderivativesinalinearellipticequation |