Regularized Solution of the Cauchy Problem in an Unbounded Domain
In this paper, using the construction of the Carleman matrix, we explicitly find a regularized solution of the Cauchy problem for matrix factorizations of the Helmholtz equation in a three-dimensional unbounded domain.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/8/1682 |
| _version_ | 1797431720502362112 |
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| author | Davron Aslonqulovich Juraev Ali Shokri Daniela Marian |
| author_facet | Davron Aslonqulovich Juraev Ali Shokri Daniela Marian |
| author_sort | Davron Aslonqulovich Juraev |
| collection | DOAJ |
| description | In this paper, using the construction of the Carleman matrix, we explicitly find a regularized solution of the Cauchy problem for matrix factorizations of the Helmholtz equation in a three-dimensional unbounded domain. |
| first_indexed | 2024-03-09T09:49:22Z |
| format | Article |
| id | doaj.art-d57ef4ba3ca24642a0a8282621ea02d6 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T09:49:22Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-d57ef4ba3ca24642a0a8282621ea02d62023-12-02T00:21:59ZengMDPI AGSymmetry2073-89942022-08-01148168210.3390/sym14081682Regularized Solution of the Cauchy Problem in an Unbounded DomainDavron Aslonqulovich Juraev0Ali Shokri1Daniela Marian2Department of Natural Science Disciplines, Higher Military Aviation School of the Republic of Uzbekistan, Karshi 180100, UzbekistanDepartment of Mathematics, Faculty of Basic Sciences, University of Maragheh, Maragheh 83111-55181, IranDepartment of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaIn this paper, using the construction of the Carleman matrix, we explicitly find a regularized solution of the Cauchy problem for matrix factorizations of the Helmholtz equation in a three-dimensional unbounded domain.https://www.mdpi.com/2073-8994/14/8/1682Carleman matrixregularized solutionmatrix factorizationsHelmholtz equation |
| spellingShingle | Davron Aslonqulovich Juraev Ali Shokri Daniela Marian Regularized Solution of the Cauchy Problem in an Unbounded Domain Symmetry Carleman matrix regularized solution matrix factorizations Helmholtz equation |
| title | Regularized Solution of the Cauchy Problem in an Unbounded Domain |
| title_full | Regularized Solution of the Cauchy Problem in an Unbounded Domain |
| title_fullStr | Regularized Solution of the Cauchy Problem in an Unbounded Domain |
| title_full_unstemmed | Regularized Solution of the Cauchy Problem in an Unbounded Domain |
| title_short | Regularized Solution of the Cauchy Problem in an Unbounded Domain |
| title_sort | regularized solution of the cauchy problem in an unbounded domain |
| topic | Carleman matrix regularized solution matrix factorizations Helmholtz equation |
| url | https://www.mdpi.com/2073-8994/14/8/1682 |
| work_keys_str_mv | AT davronaslonqulovichjuraev regularizedsolutionofthecauchyprobleminanunboundeddomain AT alishokri regularizedsolutionofthecauchyprobleminanunboundeddomain AT danielamarian regularizedsolutionofthecauchyprobleminanunboundeddomain |