A note on well-posedness of source identification elliptic problem in a Banach space
We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in H¨older norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coer...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2020-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/393 |
| _version_ | 1797372668666707968 |
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| author | A. Ashyralyev C. Ashyralyyev V.G. Zvyagin |
| author_facet | A. Ashyralyev C. Ashyralyyev V.G. Zvyagin |
| author_sort | A. Ashyralyev |
| collection | DOAJ |
| description |
We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in H¨older norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.
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| first_indexed | 2024-03-08T18:39:09Z |
| format | Article |
| id | doaj.art-97f9c62228884fc0af3c3086d54df5aa |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:39:09Z |
| publishDate | 2020-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-97f9c62228884fc0af3c3086d54df5aa2023-12-29T10:20:14ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112020-09-0199310.31489/2020m3/96-104A note on well-posedness of source identification elliptic problem in a Banach spaceA. AshyralyevC. AshyralyyevV.G. Zvyagin We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in H¨older norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/393well-posednesselliptic equationspositivitycoercive stabilitysource identificationexact estimates |
| spellingShingle | A. Ashyralyev C. Ashyralyyev V.G. Zvyagin A note on well-posedness of source identification elliptic problem in a Banach space Қарағанды университетінің хабаршысы. Математика сериясы well-posedness elliptic equations positivity coercive stability source identification exact estimates |
| title | A note on well-posedness of source identification elliptic problem in a Banach space |
| title_full | A note on well-posedness of source identification elliptic problem in a Banach space |
| title_fullStr | A note on well-posedness of source identification elliptic problem in a Banach space |
| title_full_unstemmed | A note on well-posedness of source identification elliptic problem in a Banach space |
| title_short | A note on well-posedness of source identification elliptic problem in a Banach space |
| title_sort | note on well posedness of source identification elliptic problem in a banach space |
| topic | well-posedness elliptic equations positivity coercive stability source identification exact estimates |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/393 |
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