On the representation of biharmonic functions with singularities in ℝ n

M. A. Al-Gwaiz () and V. Anandam ()
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M. A. Al-Gwaiz: King Saud University
V. Anandam: C.I.T. Campus

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 3, 263-276

Abstract: Abstract Biharmonic functions are defined on Euclidean spaces, Riemannian manifolds, infinite trees, and more generally on abstract harmonic spaces. In this note, we consider biharmonic functions b defined on annular sets Ω \ K and obtain Laurent-type decompositions for b in the Euclidean spaces and in infinite trees. Particular importance is given to the investigation when b extends as a distribution on Ω.

Keywords: Biharmonic distributions; Laurent decomposition; infinite trees (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0013-z

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