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Zbl 0780.31006
Cialdea, Alberto
The multiple layer potential for the biharmonic equation in $n$ variables. (English)
[J] Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 3, No.4, 241-259 (1992). ISSN 1120-6330; ISSN 1720-0768/e

Author's abstract: ``The definition of multiple layer potential for the biharmonic equation in $\bbfR\sp n$ is given. In order to represent the solution of the Dirichlet problem by means of such a potential, a singular integral system, whose symbol determinant vanishes identically, is considered. The concept of bilateral reduction is introduced and employed for investigating such a system''.
[D.Kershaw (Lancaster)]

MSC 2000:: *31B30 Biharmonic (etc.) functions and equations (higher-dim.)
31B10 Integral representations of harmonic functions (higher-dimensional)
35J40 Higher order elliptic equations, boundary value problems

Keywords: multiple layer potential for the biharmonic equation; Dirichlet problem; singular integral system

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