dc.contributor.author
Emek, Serkan
dc.date.accessioned
2025-05-23T07:19:23Z
dc.date.available
2025-05-23T07:19:23Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/43516
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-43232
dc.description.abstract
Prescribing Robin boundary conditions for the iterated Poisson equation (∂z∂z¯)nw=f leads to Robin-n problems. Extending previous results by allowing an independent choice for the parameters αk,βk for every iteration k,1≤k≤n, leads to explicit integral representations depending on the data of the Robin-n problem. Parting from these integral representation explicit solutions with their respective solvability conditions are derived. For the unit disc of the complex plane, the Robin functions for n = 2 and 3 are explicitly constructed.
en
dc.format.extent
24 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Robin function
en
dc.subject
polyharmonic
en
dc.subject
various parameters
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Iterated Robin problem, the case of various parameters
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1080/17476933.2024.2341770
dcterms.bibliographicCitation.journaltitle
Complex Variables and Elliptic Equations
dcterms.bibliographicCitation.number
5
dcterms.bibliographicCitation.pagestart
774
dcterms.bibliographicCitation.pageend
797
dcterms.bibliographicCitation.volume
70
dcterms.bibliographicCitation.url
https://doi.org/10.1080/17476933.2024.2341770
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1747-6941
refubium.resourceType.provider
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