Riemann-hilbert problems - Open Access .click

2005
Die Randwertaufgaben fur die Cauchy-Riemannschen Differentialgleichungen sind einerseits grundlegend fur viele Anwendungen, zum anderen enthullen sie tiefe, uberraschende Zusammenhange zwischen topologischen Invarianten und algebraischen Invarianten stetiger linearer Abbildungen.
Wolfgang L. Wendland, Olaf Steinbach
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Nonlinear Riemann ‐ Hilbert Problems without Transversality

Mathematische Nachrichten, 1997
AbstractNonlinear Riemann ‐ Hilbert problems (RHP) generalize two fundamental classical problems for complex analytic functions, namely: 1. the conformal mapping problem, and 2. the linear Riemann ‐ Hilbert problem. This paper presents new results on global existence for the nonlinear (RHP) in doubly connected domains with nonclosed restriction curves ...
Efendiev, M. A., Wendland, Wolfgang L.
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ASYMPTOTIC EXPANSIONS FOR RIEMANN–HILBERT PROBLEMS

Analysis and Applications, 2008
Let Γ be a piecewise smooth contour in ℂ, which could be unbounded and may have points of self-intersection. Let V(z, N) be a 2 × 2 matrix-valued function defined on Γ, which depends on a parameter N. Consider a Riemann–Hilbert problem for a matrix-valued analytic function R(z, N) that satisfies a jump condition on the contour Γ with the jump matrix V(
Qiu, W.-Y., Wong, R.
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riemann–hilbert problem
boundary value problems
matrix spectral problem

riemann–hilbert problems
elliptic systems