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Trace theorems for vector fields

Trace theorems for vector fields In the setting of Carnot-Carathéodory spaces we prove some trace theorems for Sobolev functions. We consider the trace on a non characteristic surface for Hörmander vector fields of step $r\ge 1$ and the trace on the boundary of a class of domains in the Grushin plane. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

Trace theorems for vector fields

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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2002 by Springer-Verlag Berlin Heidelberg
Subject
Legacy
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s002090100342
Publisher site
See Article on Publisher Site

Abstract

In the setting of Carnot-Carathéodory spaces we prove some trace theorems for Sobolev functions. We consider the trace on a non characteristic surface for Hörmander vector fields of step $r\ge 1$ and the trace on the boundary of a class of domains in the Grushin plane.

Journal

Mathematische ZeitschriftSpringer Journals

Published: Apr 1, 2002

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