Riemann problem and singular integral equations with coefficients generated by piecewise constant functions
type: Item
instance of: scholarly article
title: Riemann problem and singular integral equations with coefficients generated by piecewise constant functions
zbMATH Open document ID: 1163.45003
DOI: 10.1134/S0012266108090048
author: G. Pérez-Lechuga
author: Alexander A. Karelin
author: A. Tarasenko
published in: Differential Equations
publication date: 2009-03-26T00:00:00Z
review text: The paper deals with a class of Riemann boundary value problems with shift extending into the interior of the domain of interest. The coefficient functions are assumed to be piecewise constant. The results presented include sufficient conditions for the existence and uniqueness of the solution of the inhomogeneous problem and a method to find the dimension of the space of solutions of the homogeneous problem. The investigations make heavy use of Cauchy singular integral operators. Invertibility conditions for a class of such operators are discussed too.
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 30E25
zbMATH DE Number: 5533519
zbMATH Keywords: Cauchy singular integral equation
zbMATH Keywords: Riemann boundary value problems
MaRDI profile type: Publication
cites work: Q4527702
cites work: Q2723193
description: scientific article; zbMATH DE number 5533519