Polyharmonic Robin problem for complex linear partial differential equations

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Date
2014-02-05
Authors
AKSOY, Ümit
ÇELEBİ, Okay
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Complex Variables and Elliptic Equations
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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mathematics
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