Dirichlet problems for the generalized n-poisson equation

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2010

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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

Polyharmonic hybrid Green functions, obtained by convoluting polyharmonic Green and Almansi Green functions, are taken as kernels to define a hierarchy of integral operators. They are used to investigate the solvability of some types of Dirichlet problems for linear complex partial differential equations with leading term as the polyharmonic operator. © 2009 Birkhäuser Verlag Basel/Switzerland.

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Keywords

Dirichlet problem, Higher-order poisson equation

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15

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Source

Operator Theory: Advances and Applications -- International Workshop on Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations, 2008 -- 4 August 2008 through 8 August 2008 -- Toronto -- 164609

Volume

205

Issue

Start Page

129

End Page

141

URI

https://doi.org/10.1007/978-3-0346-0198-6_7
 https://hdl.handle.net/20.500.14411/3635

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Scopus