English

The Riemann-Hilbert problem and the generalized Neumann kernel on unbounded multiply connected regions

Complex Variables 2021-07-27 v1

Abstract

A Fredholm integral equation of the second kind with the generalized Neumann kernel associated with the Riemann-Hilbert problem on unbounded multiply connected regions will be derived and studied in this paper. The derived integral equation yields a uniquely solvable boundary integral equations for the modified Dirichlet problem on unbounded multiply connected regions.

Keywords

Cite

@article{arxiv.2107.11483,
  title  = {The Riemann-Hilbert problem and the generalized Neumann kernel on unbounded multiply connected regions},
  author = {Mohamed M. S. Nasser},
  journal= {arXiv preprint arXiv:2107.11483},
  year   = {2021}
}
R2 v1 2026-06-24T04:28:44.735Z