Solvability of Planar Complex Vector Fields with Homogeneous Singularities
Analysis of PDEs
2012-10-01 v1
Abstract
In this paper we study the equation , where is a -valued vector field in with a homogeneous singularity. The properties of the solutions are linked to the number theoretic properties of a pair of complex numbers attached to the vector field.
Keywords
Cite
@article{arxiv.1209.6613,
title = {Solvability of Planar Complex Vector Fields with Homogeneous Singularities},
author = {Abdelhamid Meziani},
journal= {arXiv preprint arXiv:1209.6613},
year = {2012}
}