Complex Partial Differential Equations
| dc.contributor.author | Aksoy, Ü. | |
| dc.contributor.author | Begehr, H. | |
| dc.contributor.author | Çelebi, A. | |
| dc.contributor.author | Shupeyeva, B. | |
| dc.date.accessioned | 2025-05-05T19:06:18Z | |
| dc.date.available | 2025-05-05T19:06:18Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | The Schwarz and iterated Dirichlet boundary-value problems are reported on for the polyanalytic operator in certain plane domains having a harmonic Green function. Hybrid polyharmonic Green functions are reviewed upon which open a variety of boundary-value problems for the polyharmonic operator. This topic is far from being complete. The higher the order of the polyharmonic operator the richer is the theory of related hybrid Green functions: they are constructed by continued convoluting harmonic Green, Neumann, Robin functions also incorporating polyharmonic Green–Almansi functions. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025. | en_US |
| dc.identifier.doi | 10.1007/s10958-025-07646-y | |
| dc.identifier.issn | 1072-3374 | |
| dc.identifier.issn | 1573-8795 | |
| dc.identifier.scopus | 2-s2.0-105001069350 | |
| dc.identifier.uri | https://doi.org/10.1007/s10958-025-07646-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/10567 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Journal of Mathematical Sciences (United States) | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | 30E25 | en_US |
| dc.subject | 30G20 | en_US |
| dc.subject | 31A10 | en_US |
| dc.subject | 31A25 | en_US |
| dc.subject | 35J40 | en_US |
| dc.subject | Admissible Domain | en_US |
| dc.subject | Cauchy–Schwarz–Pompeiu Representation | en_US |
| dc.subject | Dirichlet Boundary-Value Problem | en_US |
| dc.subject | Green Function | en_US |
| dc.subject | Green–Almansi Function | en_US |
| dc.subject | Polyanalytic Operator | en_US |
| dc.subject | Polyharmonic Boundary-Value Problem | en_US |
| dc.subject | Polyharmonic Hybrid Green Function | en_US |
| dc.subject | Ring Domain | en_US |
| dc.subject | Riquier Boundary-Value Problem | en_US |
| dc.subject | Schwarz Boundary-Value Problem | en_US |
| dc.title | Complex Partial Differential Equations | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Aksoy Ü.] Atılım University, Ankara, Turkey; [Begehr H.] Mathematisches Institut, Berlin, Germany; [Çelebi A.] Yeditepe University, Istanbul, Turkey; [Shupeyeva B.] Nazarbayev University, Nur-Sultan, Kazakhstan | en_US |
| gdc.description.endpage | 883 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 867 | en_US |
| gdc.description.volume | 287 | en_US |
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| gdc.oaire.keywords | Boundary value and inverse problems for harmonic functions in two dimensions | |
| gdc.oaire.keywords | Schwarz boundary-value problem | |
| gdc.oaire.keywords | Dirichlet boundary-value problem | |
| gdc.oaire.keywords | ring domain | |
| gdc.oaire.keywords | admissible domain | |
| gdc.oaire.keywords | Green-Almansi function | |
| gdc.oaire.keywords | polyanalytic operator | |
| gdc.oaire.keywords | Boundary value problems for higher-order elliptic equations | |
| gdc.oaire.keywords | Green function | |
| gdc.oaire.keywords | polyharmonic hybrid Green function | |
| gdc.oaire.keywords | polyharmonic boundary-value problem | |
| gdc.oaire.keywords | Cauchy-Schwarz-Pompeiu representation | |
| gdc.oaire.keywords | Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.) | |
| gdc.oaire.keywords | Boundary value problems in the complex plane | |
| gdc.oaire.keywords | Integral representations, integral operators, integral equations methods in two dimensions | |
| gdc.oaire.keywords | Riquier boundary-value problem | |
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