dc.contributor.author
Begehr, Heinrich
dc.contributor.author
Shupeyeva, Bibinur
dc.date.accessioned
2021-09-03T13:36:27Z
dc.date.available
2021-09-03T13:36:27Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/31824
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-31557
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
dc.format.extent
22 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Poly-analytic
en
dc.subject
Cauchy-Schwarz-Pompeiu representation
en
dc.subject
Green function
en
dc.subject
Neumann boundary value problems
en
dc.subject
Admissible domain
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Polyanalytic boundary value problems for planar domains with harmonic Green function
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
137
dcterms.bibliographicCitation.doi
10.1007/s13324-021-00569-2
dcterms.bibliographicCitation.journaltitle
Analysis and Mathematical Physics
dcterms.bibliographicCitation.number
3
dcterms.bibliographicCitation.volume
11
dcterms.bibliographicCitation.url
https://doi.org/10.1007/s13324-021-00569-2
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
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refubium.funding
Springer Nature DEAL
refubium.note.author
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1664-235X
refubium.resourceType.provider
WoS-Alert