Dirichlet problem for poisson and bi-poisson equations in clifford analysis

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Date

2019

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Springer International Publishing

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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

Dirichlet problems for Poisson equation and a second order linear equation are studied in the unit ball by using an integral representation formula with respect to the Laplacian in the complex Clifford algebra ℂ m for m ≥ 3. Iterating the Green type kernel function, representation of the solution of the bi-Poisson equation with homogeneous Dirichlet condition is presented. © Springer Nature Switzerland AG 2019.

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Keywords

Clifford analysis, Integral representations, Poisson equation

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Citation

1

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Q4

Source

Trends in Mathematics

Volume

Issue

Start Page

19

End Page

37

URI

https://doi.org/10.1007/978-3-030-02650-9_2
 https://hdl.handle.net/20.500.14411/3928

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Scopus