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Nonlinear Riemann—Hilbert problems with Lipschitz continuous boundary condition

Published online by Cambridge University Press:  11 July 2007

E. Wegert  and
M. A. Efendiev
E. Wegert
Affiliation:
TU Bergakademie Freiberg, Fakultät für Mathematik und Informatik, Bernhard-von-Gotta-Str. 2, D-09599 Freiberg, Germany
M. A. Efendiev
Affiliation:
Freie Universität Berlin, Institut für Mathematik I, Arnimallee 2-6, D-14195 Berlin, Germany
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Abstract

Using a norm inequality for singular integral operators in pairs of weighted Lebesgue spaces we are able to prove existence and uniqueness results for solutions of nonlinear RiemannHilbert problems with non-compact Lipschitz continuous restriction curves.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 4 , August 2000 , pp. 793 - 800
Copyright
Copyright © Royal Society of Edinburgh 2001

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