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http://bura.brunel.ac.uk/handle/2438/28525Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ayele, TG | - |
| dc.contributor.author | Demissie, BM | - |
| dc.contributor.author | Mikhailov, SE | - |
| dc.date.accessioned | 2024-03-13T10:36:00Z | - |
| dc.date.available | 2024-03-13T10:36:00Z | - |
| dc.date.issued | 2024-05-30 | - |
| dc.identifier | ORCiD: Sergey E. Mikhailov https://orcid.org/0000-0002-3268-9290 | - |
| dc.identifier.citation | Ayele, T.G., Demissie, B.M. and Mikhailov, S.E. (2024) 'Boundary-Domain Integral Equations for Variable-Coefficient Helmholtz BVPs in 2D', Journal of Mathematical Sciences, 280, pp. 300 - 335. doi: 10.1007/s10958-024-06993-6. | en_US |
| dc.identifier.issn | 1072-3374 | - |
| dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/28525 | - |
| dc.description | Data availability: There are no data associated with the manuscript to be made available. | en_US |
| dc.description.abstract | In this paper, we construct boundary-domain integral equations (BDIEs) of the Dirichlet and mixed boundary value problems for a two-dimensional variable-coefficient Helmholtz equation. Using an appropriate parametrix, these problems are reduced to several BDIE systems. It is shown that the BVPs and the formulated BDIE systems are equivalent. Fredholm properties and unique solvability and invertibility of BDIE systems are investigated in appropriate Sobolev spaces. | en_US |
| dc.description.sponsorship | EPSRC (EP/M013545/1) Mathematical Analysis of Boundary-Domain Integral Equations for Nonlinear PDEs; the first and the second author gratefully acknowledge the support from International Science Program (ISP) in Uppsala University, Sweden. | en_US |
| dc.format.extent | 330 - 355 | - |
| dc.format.medium | Print-Electronic | - |
| dc.language.iso | en_US | en_US |
| dc.publisher | Springer Nature | en_US |
| dc.rights | Copyright © The Author(s) 2024. Rights and permissions: Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/. | - |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
| dc.subject | Helmholtz equation | - |
| dc.subject | Dirichlet problem | - |
| dc.subject | mixed problem | - |
| dc.subject | parametrix | - |
| dc.subject | boundary-domain integral equations | - |
| dc.subject | equivalence | - |
| dc.subject | Fredholm properties. | - |
| dc.title | Boundary-Domain Integral Equations for Variable-Coefficient Helmholtz BVPs in 2D | en_US |
| dc.type | Article | en_US |
| dc.date.dateAccepted | 2024-02-17 | - |
| dc.identifier.doi | https://doi.org/10.1007/s10958-024-06993-6 | - |
| dc.relation.isPartOf | Journal of Mathematical Sciences | - |
| pubs.publication-status | Published | - |
| pubs.volume | 0 | - |
| dc.identifier.eissn | 1573-8795 | - |
| dc.rights.license | https://creativecommons.org/licenses/by/4.0/legalcode.en | - |
| dc.rights.holder | The Author(s) | - |
| Appears in Collections: | Dept of Mathematics Research Papers | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | Copyright © The Author(s) 2024. Rights and permissions: Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/. | 4.93 MB | Adobe PDF | View/Open |
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