English

The Riemann-Hilbert problem for elliptic vector fields with degeneracies

Analysis of PDEs 2012-10-04 v1

Abstract

The Riemann-Hilbert boundary value problem is studied for a class of planar complex vector fields LL in a simply connected open set \OmR2\Om\subset\R^2. The first integrals of LL are used to reduce the problem into a collection of classical Riemann-Hilbert problems with discontinuous data.

Keywords

Cite

@article{arxiv.1210.0931,
  title  = {The Riemann-Hilbert problem for elliptic vector fields with degeneracies},
  author = {A. Ainouz and K. Boutarene and A. Meziani},
  journal= {arXiv preprint arXiv:1210.0931},
  year   = {2012}
}
R2 v1 2026-06-21T22:15:01.866Z