Approximation mittels Linearkombinationen von Fundamentallösungen elliptischer Differentialoperatoren
Uwe Hamann · Mathematische Nachrichten · 1991
Abstract Let Ω ⊂ Rn be a bounded domain with the smooth boundary Γ, L an elliptic differential operator of order 2m with constant coefficients, E a fundamental solution of L and B = (B1, …, Bm) a normal system of boundary operators on Γ. Furtehr let (yk)Γ1 ⊂ Rn/Ω be a sequence of points and Dj(Γ) (j = 1, …, m) suitable function spaces over Γ (e.g. Cs‐spaces or SOBOLEV spaces). It is investigated, under which conditions on the sequence (yk)x1 ⊂ Rn/Ω the set