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Trace Theorems for Anisotropic Weighted SOBOLEV Spaces in a Corner

✍ Scribed by Bruno Franchi

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
969 KB
Volume
127
Category
Article
ISSN
0025-584X

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✦ Synopsis

In this paper, we prove a trace theorem for anisotropic weighted Sobolev spaces in a cube Q naturally associated to a class of degenerate elliptic operators. The fundamental property of this class is the existence of a suitable metric d which is "natural" for the operators. The basic tool of the proof is a representation formula obtained via suitable non-euclidean translations closely fitting the geometry of the d-balls. In a more particular situation, me construct a right inverse of the trace operator and we describe the compatibility conditions on the edges of Q.

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