Av Bitsadze's Observation on Bianalytic Functions and the Schwarz Problem

dc.authorid CELEBI, Ahmet/0000-0002-3508-2590
dc.authorid Aksoy, Umit/0000-0002-6014-1898
dc.authorscopusid 24402879000
dc.authorscopusid 6603631794
dc.authorscopusid 6701476307
dc.contributor.author Aksoy, Umit
dc.contributor.author Begehr, Heinrich
dc.contributor.author Celebi, A. Okay
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:40:00Z
dc.date.available 2024-07-05T15:40:00Z
dc.date.issued 2019
dc.department Atılım University en_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, Turkey en_US
dc.description CELEBI, Ahmet/0000-0002-3508-2590; Aksoy, Umit/0000-0002-6014-1898 en_US
dc.description.abstract According 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.citationcount 8
dc.identifier.doi 10.1080/17476933.2018.1504039
dc.identifier.endpage 1274 en_US
dc.identifier.issn 1747-6933
dc.identifier.issn 1747-6941
dc.identifier.issue 8 en_US
dc.identifier.scopus 2-s2.0-85051943661
dc.identifier.scopusquality Q3
dc.identifier.startpage 1257 en_US
dc.identifier.uri https://doi.org/10.1080/17476933.2018.1504039
dc.identifier.uri https://hdl.handle.net/20.500.14411/3281
dc.identifier.volume 64 en_US
dc.identifier.wos WOS:000468792600001
dc.identifier.wosquality Q2
dc.institutionauthor Aksoy, Ümit
dc.language.iso en en_US
dc.publisher Taylor & Francis Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 10
dc.subject A en_US
dc.subject Soldatov en_US
dc.subject Bitsadze equation en_US
dc.subject polyanalytic function en_US
dc.subject plane domains en_US
dc.subject harmonic Green function en_US
dc.subject Schwarz boundary value problem en_US
dc.subject Dirichlet and Neumann conditions en_US
dc.title Av Bitsadze's Observation on Bianalytic Functions and the Schwarz Problem en_US
dc.type Article en_US
dc.wos.citedbyCount 10
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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