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Trace Theorems for Sobolev Spaces of Variable Order of Differentiation

✍ Scribed by Hans - Gerd Leopold; Elmar Schrohe

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 886 KB
Volume: 179
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19961790113

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## Abstract In this paper, we prove a trace regularity theorem for the solutions of general linear partial differential equations with smooth coefficients. Our result shows that by imposing additional microlocal smoothness along certain directions, the trace of the solution on a codimension‐one hyp