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arXiv · 1210.0931

The Riemann-Hilbert problem for elliptic vector fields with degeneracies

A. Ainouz·K. Boutarene·A. Meziani
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Abstract

The Riemann-Hilbert boundary value problem is studied for a class of planar complex vector fields $L$ in a simply connected open set $\Om\subset\R^2$. The first integrals of $L$ are used to reduce the problem into a collection of classical Riemann-Hilbert problems with discontinuous data.

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A. Ainouz, K. Boutarene, A. Meziani. 2012-10-02. The Riemann-Hilbert problem for elliptic vector fields with degeneracies. https://arxiv.org/abs/1210.0931

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