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On the index of degenerate pseudodifferential operators on a closed curve

✍ Scribed by Johannes Elschner

Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
670 KB
Volume
109
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We consider a class of degenerate classical pseudodifferential operators on a closed curve and compute their index in Sobolev spaces. The index is expressed as a winding number by means of the principal and the subprincipal symbol. Furthermore, applications to the smoothness of solutions and the degenerate oblique derivative problem in the plane are given.

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