Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m
In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a three-dimensional bounded domain from their values on a part of the boundary of this domain, i.e., the Cauchy problem. An approximate solution to this problem is constructed based...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62831 |
| _version_ | 1797634104121884672 |
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| author | Juraev Aslonqulovich Davron Marcelo Moreira Cavalcanti |
| author_facet | Juraev Aslonqulovich Davron Marcelo Moreira Cavalcanti |
| author_sort | Juraev Aslonqulovich Davron |
| collection | DOAJ |
| description |
In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a three-dimensional bounded domain from their values on a part of the boundary of this domain, i.e., the Cauchy problem. An approximate solution to this problem is constructed based on the Carleman matrix method.
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| first_indexed | 2024-03-11T12:03:05Z |
| format | Article |
| id | doaj.art-dede2d20682c46b58de5fdb80c916c78 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T12:03:05Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-dede2d20682c46b58de5fdb80c916c782023-11-07T20:11:59ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.62831Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^mJuraev Aslonqulovich Davron0Marcelo Moreira Cavalcanti1Higher Military Aviation School of the Republic of UzbekistanState University of Maringá In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a three-dimensional bounded domain from their values on a part of the boundary of this domain, i.e., the Cauchy problem. An approximate solution to this problem is constructed based on the Carleman matrix method. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62831 |
| spellingShingle | Juraev Aslonqulovich Davron Marcelo Moreira Cavalcanti Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m Boletim da Sociedade Paranaense de Matemática |
| title | Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m |
| title_full | Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m |
| title_fullStr | Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m |
| title_full_unstemmed | Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m |
| title_short | Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m |
| title_sort | cauchy problem for matrix factorizations of the helmholtz equation in the space r m |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62831 |
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