AV Bitsadze's observation on bianalytic functions and the Schwarz problem

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dc.authoridCELEBI, Ahmet/0000-0002-3508-2590
dc.authoridAksoy, Umit/0000-0002-6014-1898
dc.authorscopusid24402879000
dc.authorscopusid6603631794
dc.authorscopusid6701476307
dc.contributor.authorAksoy, Ümit
dc.contributor.authorBegehr, Heinrich
dc.contributor.authorCelebi, A. Okay
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:40:00Z
dc.date.available2024-07-05T15:40:00Z
dc.date.issued2019
dc.departmentAtılım Universityen_US
dc.department-temp[Aksoy, Umit] Atilim Univ, Dept Math, Ankara, Turkey; [Begehr, Heinrich] FU Berlin, Math Inst, Berlin, Germany; [Celebi, A. Okay] Yeditepe Univ, Dept Math, Istanbul, Turkey; [Celebi, A. Okay] Middle East Tech Univ, Dept Math, Ankara, Turkeyen_US
dc.descriptionCELEBI, Ahmet/0000-0002-3508-2590; Aksoy, Umit/0000-0002-6014-1898en_US
dc.description.abstractAccording to an observation of A.V. Bitsadze from 1948 the Dirichlet problem for bianalytic functions is ill-posed. A natural boundary condition for the polyanalytic operator, however, is the Schwarz condition. An integral representation for the solutions in the unit disc to the inhomogeneous polyanalytic equation satisfying Schwarz boundary conditions is known. This representation is extended here to any simply connected plane domain having a harmonic Green function. Some other boundary value problems are investigated with some Dirichlet and Neumann conditions illuminating that just the Schwarz problem is a natural boundary condition for the Bitsadze operator.en_US
dc.identifier.citation8
dc.identifier.doi10.1080/17476933.2018.1504039
dc.identifier.endpage1274en_US
dc.identifier.issn1747-6933
dc.identifier.issn1747-6941
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85051943661
dc.identifier.scopusqualityQ3
dc.identifier.startpage1257en_US
dc.identifier.urihttps://doi.org/10.1080/17476933.2018.1504039
dc.identifier.urihttps://hdl.handle.net/20.500.14411/3281
dc.identifier.volume64en_US
dc.identifier.wosWOS:000468792600001
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAen_US
dc.subjectSoldatoven_US
dc.subjectBitsadze equationen_US
dc.subjectpolyanalytic functionen_US
dc.subjectplane domainsen_US
dc.subjectharmonic Green functionen_US
dc.subjectSchwarz boundary value problemen_US
dc.subjectDirichlet and Neumann conditionsen_US
dc.titleAV Bitsadze's observation on bianalytic functions and the Schwarz problemen_US
dc.typeArticleen_US
dspace.entity.typePublication
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relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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