A boundary integral method for the general conjugation problem in multiply connected circle domains
| Author | Nasser M.M.S. |
| Available date | 2020-02-05T08:54:09Z |
| Publication Date | 2018 |
| Publication Name | Trends in Mathematics |
| Resource | Scopus |
| ISSN | 22970215 |
| Abstract | We present a boundary integral method for solving a certain class of Riemann-Hilbert problems known as the general conjugation problem. The method is based on a uniquely solvable boundary integral equation with the generalized Neumann kernel. We present also an alternative proof for the existence and uniqueness of the solution of the general conjugation problem. 2018, Springer International Publishing AG, part of Springer Nature. |
| Sponsor | This paper has been presented in: BFA 3rd meeting, Rzeszow, Poland, April 20�23, 2016. The author is grateful to Qatar University for the financial support to attend the meeting and to professor Piotr Drygas, chairman of the organizing committee of the meeting, for the hospitality during the meeting. Acknowledgements The author would like to thank the anonymous referee for his valuable comments and suggestions which improved the presentation of this paper. The financial support from Qatar University Internal Grant QUUG-CAS-DMSP-15n16-27 is gratefully acknowledged. |
| Language | en |
| Publisher | Springer International Publishing |
| Subject | General conjugation problem Generalized Neumann kernel Riemann-Hilbert problem |
| Type | Article |
| Pagination | 153-168 |
| Volume Number | PartF2 |
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Mathematics, Statistics & Physics [740 items ]