Riemann-Hilbert theory for problems with vanishing coefficients that arise in nonlinear hydrodynamics
type: Item
instance of: scholarly article
title: Riemann-Hilbert theory for problems with vanishing coefficients that arise in nonlinear hydrodynamics
zbMATH Open document ID: 1030.30038
DOI: 10.1016/S0022-1236(02)00097-6
published in: Journal of Functional Analysis
publication date: 2003-04-09T00:00:00Z
review text: Let a function \(a(t)\) be periodic on the real axis with the period \(2\pi \) and belonging to the space \(L^{\infty }\). Let \(a\geq 0\). At every point \(t\) either \(a\) is separated from zero at \(t\) or vanishes at \(t\). The authors consider the Riemann-Hilbert problem \(\Psi =a\Phi \), \(\left|t\right|=1\), with respect to the functions \(\Psi \) and \(\Phi \) analytic in the unit disc. The problem is considered in a class of Nevanlinna-Smirnov functions.
Mathematics Subject Classification ID: 30E25
Mathematics Subject Classification ID: 30D55
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M40
zbMATH DE Number: 1895824
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: Hardy space
zbMATH Keywords: nonlinear wave
author: Eugene Shargorodsky
author: John F. Toland
reviewed by: Vladimir Mityushev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1895824