On strongly elliptic singular integral operators with piecewise continuous coefficients |
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Authors: | Siegfried Prößdorf Andreas Rathsfeld |
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Institution: | (1) Institut für Mathematik, Akademie der Wissenschaften der DDR, Mohrenstraße 39, DDR-1080 Berlin |
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Abstract: | The concept of strongly elliptic operators is one of the main tools for approximating the solution of boundary integral equations by finite element methods (see 4-10]). In the present paper necessary and sufficient conditions for the strong ellipticity of singular integral operators with piecewise continuous matrix coefficients on a closed or open Ljapunov curve are obtained. |
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