POLYANALYTIC BOUNDARY VALUE PROBLEMS FOR PLANAR DOMAINS WITH HARMONIC GREEN FUNCTION
| dc.contributor.author | Begehr, Heinrich | |
| dc.contributor.author | Shupeyeva, Bibinur | |
| dc.date.accessioned | 2021-08-06T05:19:39Z | |
| dc.date.available | 2021-08-06T05:19:39Z | |
| dc.date.issued | 2021-07-07 | |
| dc.description.abstract | There are three basic boundary value problems for the inhomogeneous polyanalytic equation in planar domains, the well-posed iterated Schwarz problem, and further two over-determined iterated problems of Dirichlet and Neumann type. These problems are investigated in planar domains having a harmonic Green function. For the Schwarz problem, treated earlier [Ü. Aksoy, H. Begehr, A.O. Çelebi, AV Bitsadze’s observation on bianalytic functions and the Schwarz problem. Complex Var Elliptic Equ 64(8): 1257–1274 (2019)], just a modification is mentioned. While the Dirichlet problem is completely discussed for arbitrary order, the Neumann problem is just handled for order up to three. But a generalization to arbitrary order is likely. | en_US |
| dc.identifier.citation | Begehr, H., Shupeyeva, B. Polyanalytic boundary value problems for planar domains with harmonic Green function. Anal.Math.Phys. 11, 137 (2021). https://doi.org/10.1007/s13324-021-00569-2 | en_US |
| dc.identifier.issn | 1664-2368 | |
| dc.identifier.uri | https://link.springer.com/article/10.1007%2Fs13324-021-00569-2 | |
| dc.identifier.uri | https://doi.org/10.1007/s13324-021-00569-2 | |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/5661 | |
| dc.language.iso | en | en_US |
| dc.publisher | Birkhauser | en_US |
| dc.relation.ispartofseries | Analysis and Mathematical Physics;volume 11, Article number: 137 (2021) | |
| dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
| dc.subject | Type of access: Open Access | en_US |
| dc.subject | Admissible domain | en_US |
| dc.subject | Bi- and tri-analytic Pompeiu integral operators | en_US |
| dc.subject | Cauchy-Schwarz-Pompeiu representation | en_US |
| dc.subject | Dirichlet | en_US |
| dc.subject | Green function | en_US |
| dc.subject | Neumann boundary value problems | en_US |
| dc.subject | Poly-analytic | en_US |
| dc.subject | Ring domain | en_US |
| dc.subject | Schwarz | en_US |
| dc.title | POLYANALYTIC BOUNDARY VALUE PROBLEMS FOR PLANAR DOMAINS WITH HARMONIC GREEN FUNCTION | en_US |
| dc.type | Article | en_US |
| workflow.import.source | science |