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Elliptic planar vector fields with degeneracies

Author(s): Abdelhamid Meziani
Journal: Trans. Amer. Math. Soc. 357 (2005), 4225-4248.
MSC (2000): Primary 35F05; Secondary 30G20
Posted: December 9, 2004
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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: 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
Posted: December 9, 2004
Copyright of article: Copyright 2004, American Mathematical Society

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