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Zbl 0946.35108
Cialdea, Alberto; Hsiao, George C.
Regularization for some boundary integral equations of the first kind in mechanics. (English)
[J] Rend. Accad. Naz. Sci. XL, Mem. Mat. Appl. (5) 19, 25-42 (1995). ISSN 0392-4106

The authors show how to regularize some boundary integral equations. They are particularly dealing with the following problems: Laplace equation, the Stokes system and the Lamé equations. Studying the singular integral systems in which the unknown is a vector whose components are scalar functions while the data is a vector of differential forms they prove the following result: The solution of each considered problem can be given as a single layer potential with a specified density.
[Mária Lukáčová (Brno)]

MSC 2000:: *35Q72 Other PDE from mechanics
31B10 Integral representations of harmonic functions (higher-dimensional)
65R32 Inverse problems

Keywords: boundary integral equations; regularization; Laplace equation; Stokes equation; Lamé equations

Cited in: Zbl 1166.74004

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