Elliptic planar vector fields with degeneracies

Author:
Abdelhamid Meziani

Journal:
Trans. Amer. Math. Soc. **357** (2005), 4225-4248

MSC (2000):
Primary 35F05; Secondary 30G20

DOI:
https://doi.org/10.1090/S0002-9947-04-03658-X

Published electronically:
December 9, 2004

MathSciNet review:
2159708

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper deals with the normalization of elliptic vector fields in the plane that degenerate along a simple and closed curve. The associated homogeneous equation is studied and an application to a degenerate Beltrami equation is given.

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Additional Information

**Abdelhamid Meziani**

Affiliation:
Department of Mathematics, Florida International University, Miami, Florida 33199

Email:
meziani@fiu.edu

DOI:
https://doi.org/10.1090/S0002-9947-04-03658-X

Keywords:
Beltrami equation,
CR equation,
elliptic vector field,
normalization

Received by editor(s):
January 13, 2003

Received by editor(s) in revised form:
December 23, 2003

Published electronically:
December 9, 2004

Article copyright:
© Copyright 2004
American Mathematical Society