Boundary value problems for a model system of first-order equations in three-dimensional space
type: Item
instance of: scholarly article
title: Boundary value problems for a model system of first-order equations in three-dimensional space
zbMATH Open document ID: 1331.35255
DOI: 10.1134/S0012266115050079
author: B. B. Oshorov
author: Bator B. Oshorov
published in: Differential Equations
publication date: 2015-09-28T00:00:00Z
review text: The authors consider the three-dimensional analog of the generalized Cauchy-Riemann system \(\sum_{k=1}^3 E_k U_{x_k} + A(x) U = F(x)\) where \(E_k\) are constant \(4 \times 4\) matrices of the special type, \(A\) and \(F\) are given matrix and vector, respectively. The authors investigate some Riemann-Hilbert problems, in particular, prove their unique solvability.
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 35J56
zbMATH DE Number: 6485718
zbMATH Keywords: generalized Cauchy-Riemann system
zbMATH Keywords: Riemann-Hilbert problem
reviewed by: Vladimir Mityushev
MaRDI profile type: Publication
cites work: Q4906295
cites work: Q3318717
cites work: Local boundary conditions for dissipative symmetric linear differential operators
cites work: Q3338142
cites work: Riemann-Hilbert and Poincaré problems with discontinuous boundary conditions for some model systems of partial differential equations
description: scientific article; zbMATH DE number 6485718