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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Elliptic planar vector fields with degeneracies


Author: Abdelhamid Meziani
Journal: Trans. Amer. Math. Soc. 357 (2005), 4225-4248
MSC (2000): Primary 35F05; Secondary 30G20
Published electronically: December 9, 2004
MathSciNet review: 2159708
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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 $Lu=0$ 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: http://dx.doi.org/10.1090/S0002-9947-04-03658-X
PII: S 0002-9947(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