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Martin Costabel's version of the trace theorem revisited
Author(s) -
Wendland W. L.
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3230
Subject(s) - mathematics , trace (psycholinguistics) , lipschitz continuity , boundary (topology) , calculus (dental) , lipschitz domain , pure mathematics , algebra over a field , mathematical economics , mathematical analysis , philosophy , medicine , linguistics , dentistry
Dedicated to Professor Dr. Martin Costabel on the occasion of his 65th birthday.Martin Costabel showed in his celebrated paper on boundary integral operators on Lipschitz domains Ω ⊂ R nalso that the trace theorem for functions in H s (Ω) holds for s ∈1 2 , 3 2and not only for1 2 < s ≤ 1 . Here, we show that his approach can be extended to C k − 1,1 ‐domains with s ∈1 2 , k + 1 2. Copyright © 2014 John Wiley & Sons, Ltd.
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