http://dspace.bsu.edu.ru/handle/123456789/42323| Title: | On solutions of certain limit boundary value problems |
| Authors: | Kutaiba, S. Vasilyev, V. |
| Keywords: | mathematics mathematical analysis boundary value problems pseudo-differential equations equations Sobolev-Slobodetskii space |
| Issue Date: | 2020 |
| Citation: | Kutaiba, S. On solutions of certain limit boundary value problems / S. Kutaiba, V. Vasilyev // AIP Conference Proceedings. - 2020. - Vol.2293.-Art. 110006. - (International Conference Of Numerical Analysis And Applied Mathematics (ICNAAM 2019), Rhodes, Greece, 23-28 September 2019). - Doi.org/10.1063/5.0026562. |
| Abstract: | We study special boundary value problem in a plane sector for a model elliptic pseudo-differential equation in Sobolev-Slobodetskii spaces. Using special factorization for an elliptic symbol we construct the solutions and study the case when size of the cone tends to zero. It was shown that such a limit can exist if the boundary function is solution of certain integral equation |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/42323 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Vasilev_On solutions.pdf | 352.67 kB | Adobe PDF | View/Open |
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