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Potentials and the Solution of Boundary Value Problems
Appendix On the Approximation of a Solid Angle
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According to Lemma analogously arbitrary assertion Borel set Boundary Value Problems characteristic function Consequently continuous function COROLLARY curve defined denote derivatives are measures Dirichlet problem double-layer potential estimate exists a sequence exterior Neumann problem finite charge finite convex region Fredholm radius fulfilled Giorgi Hausdorff measure Hence holds the inequality integral equations interior problem introduce the notation isoperimetric inequality Kral LEMMA 12 Lemma 25 lemma is proved let a normal Let the set limiting values Math moreover necessary and sufficient normal to Q obtain open set potential theory proof of Theorem proves the lemma Radon rough trace satisfy Condition satisfying the condition sequence of polyhedra sequence of sets set E satisfy set EcQ set function simple-layer potential solid angle spherical Steklov Mathematical Institute summable Theorem 11 Theorem 9 theorem is proved unique unit ball unit vector V. G. Maz'ya virtue of Lemma weak convergence zero