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arXiv · 2107.11483

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

Mohamed M. S. Nasser
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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.

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Mohamed M. S. Nasser. 2021-07-23. The Riemann-Hilbert problem and the generalized Neumann kernel on unbounded multiply connected regions. https://arxiv.org/abs/2107.11483

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