Abstract

AbstractNeumann’s classical integral equation with the double layer potential operator is considered on different spaces of boundary charges, such as continuous data, L2(Γ) and energy trace spaces. Corresponding known results for different classes of boundaries are collected and discussed in view of their consequences for collocation or Galerkin boundary element methods.Mathematics Subject Classification (2000)31A1045B0545A05KeywordsC. Neumann’s methodscontractivityessential norm

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