Polyharmonic Robin problem for complex linear partial differential equations

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2014

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Taylor & Francis Ltd

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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Abstract

In this article, generalized polyharmonic Robin functions are introduced together with some of their properties. A hierarchy of integral operators with relevant kernel functions are investigated. These operators are used to transform the Robin problem for a 2nth order linear partial complex differential equation with polyharmonic leading term (generalized n-Poisson equation) into a singular integral equation having Fredholm property.

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Celebi, Ahmet Okay/0000-0001-5256-1035; Aksoy, Umit/0000-0002-6014-1898
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Celebi, Ahmet Okay ORCID logo
Aksoy, Umit ORCID logo

Keywords

polyharmonic Robin function, Robin problem, elliptic higher order complex partial differential equations, 31A30, 31A10, 31A25

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3

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Volume

59

Issue

12

Start Page

1679

End Page

1695

URI

https://doi.org/10.1080/17476933.2013.872635
 https://hdl.handle.net/20.500.14411/60

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