On the Applicability of the Fredholm-Radon Method in Potential Theory and the Panel Method

摘要: For three-dimensional domains with piecewise Lyapounov boundaries having corners and edges one can find simple corner points where the classical assumptions for validity of Fredholm-Radon boundary integral equation method continuous charges are violated. As a consequence, in this case convergence panel was not justified either. However, use suitable weighted maximum norm allows justification rectangular which violate previous assumption. Here we give survey on these relations between geometry, solvability equations by introducing more general concept Fredholm radius. domains, however, it is still open whether corresponding norms be found.