Elliptic planar vector fields with degeneracies

Meziani, Abdelhamid

doi:10.1090/S0002-9947-04-03658-X

Elliptic planar vector fields with degeneracies
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Trans. Amer. Math. Soc. 357 (2005), 4225-4248 Request permission

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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