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Approximation mittels Linearkombinationen von Fundamentallösungen elliptischer Differentialoperatoren
Author(s) -
Hamann Uwe
Publication year - 1991
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19911540123
Subject(s) - mathematics , sobolev space , bounded function , sequence (biology) , domain (mathematical analysis) , differential operator , boundary (topology) , constant (computer programming) , order (exchange) , mathematical analysis , operator (biology) , pure mathematics , function (biology) , combinatorics , biochemistry , chemistry , genetics , finance , repressor , evolutionary biology , computer science , transcription factor , gene , economics , biology , programming language
Let Ω ⊂ R n be a bounded domain with the smooth boundary Γ, L an elliptic differential operator of order 2 m with constant coefficients, E a fundamental solution of L and B = ( B 1 , …, B m ) a normal system of boundary operators on Γ. Furtehr let ( yk )Γ 1 ⊂ R n / Ω be a sequence of points and D j (Γ) ( j = 1, …, m ) suitable function spaces over Γ (e.g. C s ‐spaces or SOBOLEV spaces). It is investigated, under which conditions on the sequence ( yk ) x 1 ⊂ R n / Ω the set
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