Invertibility of Single Layer Potential in 2d
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Date
2019-06-03
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Addis Ababa University
Abstract
In this work we investigate the invertibility of single layer potential operator
in 2D. The single layer potential operator contains non trivial kernel.
Consequently, we need to set conditions on the domain or the space to insure
the boundedness and ellipticity of single layer potential operators and hence
by Lax-Milgram Theorem the invertibility of single layer potential in 2D.
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Keywords
Invertibility, Single Layer, Potential in 2d, Function Spaces, Preliminaries