The problem of determining source term in a kinetic equation in an unbounded domain
In this paper, we deal with an inverse problem of determining the source function in a kinetic equation that is considered in an unbounded domain with Cauchy data. We prove the uniqueness of the solution of an inverse problem by means of a pointwise Carleman estimate. In recent years, kinetic equati...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024447?viewType=HTML |
| _version_ | 1797257681691475968 |
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| author | Özlem Kaytmaz |
| author_facet | Özlem Kaytmaz |
| author_sort | Özlem Kaytmaz |
| collection | DOAJ |
| description | In this paper, we deal with an inverse problem of determining the source function in a kinetic equation that is considered in an unbounded domain with Cauchy data. We prove the uniqueness of the solution of an inverse problem by means of a pointwise Carleman estimate. In recent years, kinetic equations have occurred in a variety of important fields and applications, such as aerospace engineering, semi-conductor technology, nuclear engineering, chemotaxis, and immunology. |
| first_indexed | 2024-04-24T22:41:30Z |
| format | Article |
| id | doaj.art-6d1f7fec7f704d95be2aa7d964117570 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T22:41:30Z |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6d1f7fec7f704d95be2aa7d9641175702024-03-19T01:17:32ZengAIMS PressAIMS Mathematics2473-69882024-03-01949184919410.3934/math.2024447The problem of determining source term in a kinetic equation in an unbounded domainÖzlem Kaytmaz0Department of Mathematics, Faculty of Science, Zonguldak Bülent Ecevit University, Zonguldak 67100, TürkiyeIn this paper, we deal with an inverse problem of determining the source function in a kinetic equation that is considered in an unbounded domain with Cauchy data. We prove the uniqueness of the solution of an inverse problem by means of a pointwise Carleman estimate. In recent years, kinetic equations have occurred in a variety of important fields and applications, such as aerospace engineering, semi-conductor technology, nuclear engineering, chemotaxis, and immunology.https://www.aimspress.com/article/doi/10.3934/math.2024447?viewType=HTMLkinetic equationinverse problemunbounded domainuniquenesspointwise carleman estimate |
| spellingShingle | Özlem Kaytmaz The problem of determining source term in a kinetic equation in an unbounded domain AIMS Mathematics kinetic equation inverse problem unbounded domain uniqueness pointwise carleman estimate |
| title | The problem of determining source term in a kinetic equation in an unbounded domain |
| title_full | The problem of determining source term in a kinetic equation in an unbounded domain |
| title_fullStr | The problem of determining source term in a kinetic equation in an unbounded domain |
| title_full_unstemmed | The problem of determining source term in a kinetic equation in an unbounded domain |
| title_short | The problem of determining source term in a kinetic equation in an unbounded domain |
| title_sort | problem of determining source term in a kinetic equation in an unbounded domain |
| topic | kinetic equation inverse problem unbounded domain uniqueness pointwise carleman estimate |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024447?viewType=HTML |
| work_keys_str_mv | AT ozlemkaytmaz theproblemofdeterminingsourceterminakineticequationinanunboundeddomain AT ozlemkaytmaz problemofdeterminingsourceterminakineticequationinanunboundeddomain |